METADATA

#!/usr/bin/perl

use warnings ;
use strict ;
use Getopt::Long;

my $doGabook = 0 ;
my $doNonga = 0 ;
my $doPhy356 = 0 ;
my $doClassicalMechanics = 0 ;
my $doPhy456 = 0 ;
my $doPhy452 = 0 ;
my $doPhy454 = 0 ;
my $doPhy485 = 0 ;
my $doPhy450 = 0 ;
my $doOtherbook = 0 ;

my $doBib = 0 ;
my $doHistory = 0 ;
my $doMathematica = 0 ;
my $latex = 0 ;
my $doMathematicaFtp = 0 ;

GetOptions
(
   'gabook!'    => \$doGabook,
   'phy356!'    => \$doPhy356,
   'classicalmechanics!'    => \$doClassicalMechanics,
   'phy456!'    => \$doPhy456,
   'phy454!'    => \$doPhy454,
   'phy485!'    => \$doPhy485,
   'phy452!'    => \$doPhy452,
   'phy450!'    => \$doPhy450,
   'miscphysics!'  => \$doNonga,
   'latex!'  => \$latex,
   'mathematica!'  => \$doMathematica,
   'mathFtp!'  => \$doMathematicaFtp,
   'otherbook!' => \$doOtherbook,
   'all'        => sub {
                          $doGabook = 1 ;
                          $doNonga = 1 ;
                          $doPhy356 = 1 ;
                          $doClassicalMechanics = 1 ;
                          $doPhy454 = 1 ;
                          $doPhy485 = 1 ;
                          $doPhy452 = 1 ;
                          $doPhy456 = 1 ;
                          $doPhy450 = 1 ;
                          $doOtherbook = 1 ;
                       },
   'bib!'       => \$doBib,
   'history!'   => \$doHistory,

   'help'       => sub { die
"METADATA [-help | -history | -bib] [-mathematica [-latex] | -mathFtp | -other | -phy356 | -classicalmechanics | -phy456 | -phy454 | -phy485 | -phy450 | -phy452 | -gabook]

options:
-history hypertext history.

i.e.
   ./METADATA -history -all

-bib bibtex listing of the documents.
" ; },
) ;

my @gabook =
({
   SOURCE => 'gaMaxwell',
   DATE => 'July 12, 2008',
   TITLE => qq(Back to Maxwell's equations),
   REF => 'PJMaxwell2',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/ga_maxwell.pdf',
   WHAT => '',
},{
   SOURCE => 'maxwellToTensor',
   DATE => 'September 7, 2008',
   TITLE => qq(Tensor relations from bivector field equation),
   REF => 'PJMaxwellTensor',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/maxwell_to_tensor.pdf',
   WHAT => '',
},{
   SOURCE => 'multivectorTaylors',
   DATE => 'April 28, 2009',
   TITLE => qq(Developing some intuition for Multivariable and Multivector Taylor Series),
   REF => 'PJmultiTaylors',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/multivector_taylors.pdf',
   WHAT => qq(Explicit expansion and Hessian matrix connection.  Factor out the gradient from the direction derivative for a few different multivector spaces. ),
},
{
   SOURCE => '4dFourier',
   DATE => 'February 1, 2009',
   TITLE => qq(4D Fourier transforms applied to Maxwell's equation),
   REF => 'PJ4dFourier',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/4d_fourier.pdf',
   WHAT => "Wow, using a spacetime Fourier transform for a Maxwell's solution is much simpler.  This is a neat result.",
},{
   SOURCE => 'angleBetweenLineAndPlane',
   TITLE => qq(Angle between geometric elements),
   DATE => 'March 17, 2008',
   REF => 'angleBetweenLineAndPlane',
   WHAT => '',
},{
   SOURCE => 'angularAcc',
   DATE => 'June 10, 2008',
   TITLE => qq(Angular Velocity and Acceleration.  Again),
   REF => 'PJAngAcc',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/angular_acc.pdf',
   WHAT => '',
},{
   SOURCE => 'angularAccCross',
   DATE => 'July 8, 2008',
   TITLE => qq(Cross product Radial decomposition),
   REF => 'PJAngAccCross',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/angular_acc_cross.pdf',
   WHAT => '',
},{
   SOURCE => 'angularVelocity',
   DATE => 'January 29, 2008',
   TITLE => qq(Rotational dynamics),
   REF => 'PJAngVel',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/angular_velocity.pdf',
   WHAT => '',
},
{
   SOURCE => 'electricFieldEnergy',
   DATE => 'January 3, 2009',
   TITLE => qq(Field and wave energy and momentum),
   REF => 'PJelectricFieldEnergy',
   URL => 'http://sites.google.com/site/peeterjoot/math/electric_field_energy.pdf',
   WHAT => "Start working out for myself the electrostatic and magnetostatic energy relationships.  Got the electrostatic part done, and got as far as a from first principles Biot-Savart derivation using the STA formalism.  Next work out the magnetostatic energy relationship.  Also intend to tackle wave energy and momentum here, but in the end, may split that into a separate set of notes.  Relate the energy-density-rate + Poynting divergence equation to the Lorentz force and discuss.  Also relates the various terms of the stress energy tensor to the Lorentz force.  See now how the covariant Lorentz force and the stress energy tensor is related, and also have some intuitive justification now for why we call \$E^2 + B^2\$ the field energy density.  Want to justify in terms of work done against Lorentz force. ",
},{
   SOURCE => 'emWave',
   DATE => 'January 25, 2009',
   TITLE => qq(Electrodynamic wave equation solutions),
   REF => 'PJemWave',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/em_wave.pdf',
   WHAT => "Carry the separation of variables to a reasonable point of completion, deriving a tidy relativistic solution for \$F_{\\mu\\nu}\$.  After this try generalizing that a bit with some intuition that turned out to be busted.  Left my dead ends as a marker pointing where not to go in the future. ",
},{
   SOURCE => 'enMTensor',
   DATE => 'February 17, 2009',
   TITLE => qq(Energy momentum tensor relation to Lorentz force),
   REF => 'PJenMtensor',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/en_m_tensor.pdf',
   WHAT => '',
},{
   SOURCE => 'energyMomentumTensor',
   DATE => 'January 1, 2009',
   TITLE => qq(Energy momentum tensor),
   REF => 'PJemstresstensor',
   URL => 'http://sites.google.com/site/peeterjoot/math/energy_momentum_tensor.pdf',
   WHAT => qq(As well as some brute force notes on expanding the tensor, the spacetime divergence of the rest frame elements of this tensor is used to derive, in a particularly slick fashion IMO, the Poynting energy momentum current conservation equation.  Want to also followup on what's here with a relativistic transformation approach, but will have to think it through. ),
},
{
   SOURCE => 'eulerangle',
   DATE => 'November 1, 2008',
   TITLE => qq(Euler Angle Notes),
   #REF => 'eulerangle',
   REF => 'PJEulerAngle',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/eulerangle.pdf',
   WHAT => '',
},
{
   SOURCE => 'firstorderFourierMaxwell',
   DATE => 'January 31, 2009',
   TITLE => qq(First order Fourier transform solution of Maxwell's equation),
   REF => 'PJfirstOrderMaxwell',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/firstorder_fourier_maxwell.pdf',
   WHAT => qq(Application of the Fourier transform to the spacetime split of the gradient term of Maxwell's equation allows for a complete solution of both the vacuum and current forced fields without requiring any computation with four vector potentials.  Presuming I got all the math right, this is a beautiful application of both Fourier theory and the STA algebra.  Note that the Rigor police are thoroughly away on vacation in this particular set of notes! ),
},{
   SOURCE => 'fourierMaxwell',
   DATE => 'January 29, 2009',
   TITLE => qq(Fourier transform solutions to Maxwell's equation),
   REF => 'PJfourierMaxwellSecondOrder',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/fourier_maxwell.pdf',
   WHAT => qq(Work out a Green's function solution of sorts for the non-homogeneous Maxwell's equation. ),
},{
   SOURCE => 'fourierSeriesMaxwell',
   DATE => 'February 3, 2009',
   TITLE => qq(Fourier series Vacuum Maxwell's equations),
   REF => 'PJFourierVacuum',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/fourier_series_maxwell.pdf',
   WHAT => qq(Go through Bohm's treatment that preps for the Rayleigh-Jeans result in his quantum book in a more natural way.  I use complex exponentials, with the STA pseudoscalar for i, and use the much simpler STA Maxwell vacuum equation as the base. ),
},{
   SOURCE => 'fourierTx',
   DATE => 'January 9, 2009',
   TITLE => qq(Some Fourier transform notes),
   REF => 'PJqmFourier',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/fourier_tx.pdf',
   WHAT => qq(QM formulation, with hbar's, of the Fourier transform pair, and Rayleigh Energy theorem, as seen in the book "Quantum Mechanics Demystified".  Very non-rigorous treatment, good only for intuition.  Also derive the Rayleigh Energy theorem used (but not proved) in this text. ),
},{
   SOURCE => 'gaWikiUnitDerivative',
   DATE => 'October 16, 2007',
   TITLE => qq(Derivatives of a unit vector),
   REF => 'PJUnitDer',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/ga_wiki_unit_derivative.pdf',
   WHAT => '',
},{
   SOURCE => 'gafpLorentz',
   DATE => 'August 16, 2008',
   TITLE => qq(Lorentz force Law),
   REF => 'PJSrGAFPLorentzForce',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/gafp_lorentz.pdf',
},{
   SOURCE => 'gamma',
   DATE => 'December 13, 2008',
   TITLE => qq(Gamma Matrices),
   REF => 'PJDiracGamma',
   URL => 'http://sites.google.com/site/peeterjoot/math/gamma.pdf',
   WHAT => '',
},{
   SOURCE => 'heatFourier',
   DATE => 'January 19, 2009',
   TITLE => qq(Fourier Solutions to Heat and Wave equations),
   REF => 'PJheatFourier',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/heat_fourier.pdf',
   WHAT => "Apply the series technique to solve for the general time evolution of a wave function for a free (no potential) particle constrained to a circle, and the transform method for a one dimensional linear (non-periodic) scenario. ",
},{
   SOURCE => 'keRotation',
   DATE => 'April 30, 2008',
   TITLE => qq(Kinetic Energy in rotational frame),
   REF => 'PJKeRot',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/ke_rotation.pdf',
   WHAT => '',
},
{
   SOURCE => 'planewave',
   DATE => 'February 8, 2009',
   TITLE => qq(Plane wave Fourier series solutions to the Maxwell vacuum equation),
   REF => 'PJplaneWave',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/planewave.pdf',
   WHAT => qq(My first attempt is getting confusing, especially after seeing after the fact that plane wave constraints on the solution are required for the solution to maintain a grade two form.  Summarizes results from the first attempt in a more coherent, albeit denser, form. ),
},{
   SOURCE => 'poisson',
   DATE => 'February 18, 2009',
   TITLE => qq(Poisson and retarded Potential Green's functions from Fourier kernels),
   REF => 'PJpoisson',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/poisson.pdf',
   WHAT => qq(Work through the details of how to derive the Poisson integral kernel starting with the Fourier transform derived Green's function.  Do the same thing with the wave equation, and produce the retarded and advanced form solutions.  A few years in the works since seeing them in Feynman and wondering where they came from.  Feb 25.  Did a reduction of the 1D forced wave equation's Green function to a difference of unit step functions.  Have to compute derivatives to see if this really works. ),
},{
   SOURCE => 'poynting',
   DATE => 'December 29, 2008',
   TITLE => qq(Poynting vector and Electromagnetic Energy conservation),
   REF => 'PJpoynting',
   URL => 'http://sites.google.com/site/peeterjoot/math/poynting.pdf',
   WHAT => '',
},{
   SOURCE => 'poyntingRate',
   DATE => 'January 18, 2009',
   TITLE => qq(Time rate of change of the Poynting vector, and its conservation law),
   REF => 'PJpoyntingRate',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/poynting_rate.pdf',
   WHAT => "These notes contain the conservation calculation itself, and verify the end result of Schwartz's tricky relativistic argument, that I have yet to understand, to put the conservation into a divergence form that is volume integrable.

The derivation itself is not too hard.  Reconciling all the different notations is actually the tricky bit.  Schwartz does this in terms of the dual field tensors F and G, Doran/Lasenby have their GA \$F \\gamma_k F\$ formulation, wikipedia had something different either of than those, and I'd seen in another paper that Jackson used something completely different.  At the time I did not have Jackson to see how he did it.

Very interesting here is that we end up with what looks like the Lorentz force law by only looking at conservation requirements based on Maxwell's equation itself.  Calling the Poynting vector a field momentum density by analogy (because it showed up in what appeared to be an Energy/momentum (density) four vector) is then seen to be very justifiable.  Previously I'd seen that it took two Lagrangians for electrodynamics.  One for the fields and one for the interaction term.  But now it looks like the interaction term follows from the fields (in a hand waving, fuzzy, not yet fully understood way).  Quite interesting, and worth more thought, but seeing how one gets the interaction term from the QM field equation should probably take precedence.
",
},{
   SOURCE => 'projGeneralizedDotProd',
   DATE => 'May 17, 2008',
   TITLE => qq(Projection with generalized dot product),
   REF => 'PJprojGen',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/proj_generalized_dot_prod.pdf',
   WHAT => '',
},{
   SOURCE => 'projectionWithMatrixComparison',
   DATE => 'April 11, 2008',
   TITLE => qq(Matrix review),
   #REF => 'matrixReview',
   REF => 'PJMatrixReview',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/projection_with_matrix_comparison.pdf',
},{
   SOURCE => 'radialVectorDerivatives',
   DATE => 'October 22, 2007',
   TITLE => qq(Radial components of vector derivatives),
   REF => 'PJRadialDer',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/radial_vector_derivatives.pdf',
   WHAT => '',
},{
   SOURCE => 'rayleighJeans',
   DATE => 'December 27, 2008',
   TITLE => qq(Rayleigh-Jeans Law Notes),
   REF => 'PJrayleighJeans',
   URL => 'http://sites.google.com/site/peeterjoot/math/rayleigh_jeans.pdf',
   WHAT => '',
},{
   SOURCE => 'rotor',
   DATE => 'February 19, 2008',
   TITLE => qq(Rotor Notes),
   REF => 'rotor',
   BIBREF => 'PJRotor',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/rotor.pdf',
   WHAT => '',
},
{
   SOURCE => 'stokesRevisited',
   DATE => 'September 27, 2008',
   TITLE => qq(Stokes Law revisited with algebraic enumeration of boundary),
   REF => 'PJStokes2',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/stokes_revisited.pdf',
   WHAT => '',
},{
   SOURCE => 'stressEnergyLorentz',
   DATE => 'February 13, 2009',
   TITLE => qq(Lorentz force relation to the energy momentum tensor),
   REF => 'PJstressEnergyLorentz',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/stress_energy_lorentz.pdf',
   WHAT => "Express the energy momentum tensor in terms of the four vector Lorentz force.  This builds on the previous observation that the \$T(\\gamma_0)\$ is related to the work done against the Lorentz force. ",
},{
   SOURCE => 'vectorIntegralRelations',
   DATE => 'September 18, 2008',
   TITLE => qq(Stokes law in wedge product form),
   REF => 'PJStokes1',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/vector_integral_relations.pdf',
   WHAT => '',
},{
   SOURCE => 'vectorMaxwellsProjection',
   DATE => 'September 9, 2008',
   TITLE => qq(Vector forms of Maxwell's equations as projection and rejection operations),
   REF => 'PJMaxwellProj',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/vector_maxwells_projection.pdf',
   WHAT => '',
},{
   SOURCE => 'waveEqn',
   DATE => 'November 30, 2008',
   TITLE => qq(Expressing wave equation exponential solutions using four vectors),
   REF => 'PJwaveFourVector',
   URL => 'http://sites.google.com/site/peeterjoot/math/wave_eqn.pdf',
   WHAT => 'Four vector exponential solutions of arbitrary velocity wave equations.',
},{
   SOURCE => 'waveFourier',
   DATE => 'January 26, 2009',
   TITLE => qq(Fourier transform solutions to the wave equation),
   REF => 'PJwaveFourier',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/wave_fourier.pdf',
   WHAT => "Produces the \$f(x,t) = g( x - vt )\$ solution quite nicely!  This works in a fashion for the 2 and 3D cases too, but there the Green's function doesn't reduce nicely to a delta function as in the 1D case. ",
},{
   SOURCE => 'biotSavart',
   DATE => 'April 18, 2009',
   TITLE => qq(Biot Savart Derivation),
   REF => 'biotSavart',
   WHAT => qq(Try this starting from steady state Ampere-Maxwell equation using the three vector potential, instead of the full Maxwell equation expressed in the Lorentz gauge as done last time when I thought this would be helpful to understand magnetic field energy.),
   URL => 'http://sites.google.com/site/peeterjoot/math2009/biot_savart.pdf',
   WHAT => '',
},{
   SOURCE => 'bivector',
   DATE => 'March 9, 2008',
   REF => 'bivector',
   TITLE => qq(Bivector Geometry),
   WHAT => '',
},{
   SOURCE => 'bohr',
   DATE => 'December 11, 2008',
   TITLE => qq(Bohr Model),
   REF => 'bohr',
   URL => 'http://sites.google.com/site/peeterjoot/math/bohr.pdf',
   WHAT => 'Derivation and notes on the Bohr model.',
},{
   SOURCE => 'cauchyGradient',
   DATE => 'August 13, 2008',
   TITLE => qq(Cauchy Equations expressed as a gradient),
   REF => 'cauchyGradient',
},{
   SOURCE => 'diracLagrangian',
   DATE => 'December 21, 2008',
   TITLE => qq(Dirac Lagrangian),
   REF => 'diracLagrangian',
   URL => 'http://sites.google.com/site/peeterjoot/math/dirac_lagrangian.pdf',
   WHAT => 'An attempt to decode the Dirac equation Lagrangians found in wikipedia.  Calculate the field equations from the Lagrangians once all the terms were understood.  Includes a translation between the matrix and Doran/Lasenby notations for dagger and Dirac adjoint.',
},
{
   SOURCE => 'radial',
   DATE => 'January 13, 2009',
   TITLE => qq(Polar velocity and acceleration),
   REF => 'radial',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/radial.pdf',
   WHAT => qq(Straight up column matrix vectors and complex number variants of radial motion derivatives. ),
},{
   SOURCE => 'sphericalPolar',
   DATE => 'November 13, 2008',
   TITLE => qq(Spherical polar coordinates),
   REF => 'sphericalPolar',
   WHAT => '',
},{
   SOURCE => 'stokesMaxwellApplication',
   DATE => 'September 26, 2008',
   TITLE => qq(Application of Stokes Integrals to Maxwell's Equation),
   REF => 'stokesMaxwellApplication',
   WHAT => '',
},{
   TITLE => qq(Vector Differential Identities),
   REF => 'vectorDifferentialIdentities',
   SOURCE => 'vectorDifferentialIdentities',
   DATE => 'January 5, 2009',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/vector_differential_identities.pdf',
   WHAT => qq( Translate some identities from the Feynman lectures into GA form.  These apply in higher dimensions with the GA formalism, and proofs of the generalized identities are derived.  Make a note of the last two identities that I wanted to work through.  This is an incomplete attempt at them.  It was trickier than I expected, and probably why they were omitted from Feynman's text. ),
},{
   SOURCE => 'bladegradereduction',
   DATE => 'March 25, 2008',
   TITLE => qq(Blade grade reduction),
   REF => 'bladegradereduction',
   WHAT => '',
},{
   SOURCE => 'chargeArcElement',
   DATE => 'November 23, 2008',
   TITLE => qq(Field due to line charge in arc),
   REF => 'chargeArcElement',
   WHAT => '',
},{
   SOURCE => 'chargeLineElement',
   DATE => 'November 23, 2008',
   TITLE => qq(Charge line element),
   REF => 'chargeLineElement',
},{
   SOURCE => 'complex',
   DATE => 'November 8, 2008',
   TITLE => qq(Hyper complex numbers and symplectic structure),
   REF => 'complex',
},{
   SOURCE => 'dcPower',
   DATE => 'January 6, 2009',
   TITLE => qq(DC Power consumption formula for resistive load),
   REF => 'dcPower',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/dc_power.pdf',
   WHAT => qq(Work out \$P = I V\$ from first principles since I forgot it.  Well, from second principles I suppose, since I utilize my recent Poynting derivation. ),
},{
   SOURCE => 'electronRotor',
   DATE => 'March 18, 2009',
   TITLE => qq(Lorentz force rotor formulation),
   REF => 'electronRotor',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/electron_rotor.pdf',
   WHAT => qq(Time evolution of a particle in a field as a bivector differential equation, solving for the active Lorentz transformation on the rest frame worldline.  Work it out at my own pace in both the GA and tensor formalism.   ),
},{
   SOURCE => 'emBivectorMetricDependencies',
   DATE => 'September 5, 2008',
   TITLE => qq(Metric signature dependencies),
   REF => 'emBivectorMetricDependencies',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/em_bivector_metric_dependencies.pdf',
   WHAT => 'Examination of metric dependencies in STA and relationships to tensor expression',
},{
   SOURCE => 'emPotential',
   DATE => 'August 15, 2008',
   TITLE => qq(Four vector potential),
   REF => 'emPotential',
   BIBREF => 'PJFourPotential',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/em_potential.pdf',
   WHAT => '',
},{
   REF => 'fourierNotation',
   TITLE => qq(A cheatsheet for Fourier transform conventions),
   SOURCE => 'fourierNotation',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/fourier_notation.pdf',
   DATE => 'January 21, 2009',
   WHAT => '',
},{
   SOURCE => 'fourvecDotinvariance',
   DATE => 'August 1, 2008',
   TITLE => qq(Four vector dot product invariance and Lorentz rotors),
   REF => 'fourvecDotinvariance',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/fourvec_dotinvariance.pdf',
   WHAT => 'Rotor form of the Lorentz boost, and invariance of four vector dot product.',
},{
   SOURCE => 'inertialTensor',
   DATE => 'February 15, 2008',
   TITLE => qq(Inertia Tensor),
   REF => 'inertialTensor',
},{
   SOURCE => 'kvectorExponential',
   DATE => 'March 12, 2008',
   TITLE => qq(Exponential of a blade),
   REF => 'kvectorExponential',
   WHAT => '',
},{
   SOURCE => 'laplace',
   DATE => 'February 28, 2008',
   TITLE => qq(Exponential Solutions to Laplace Equation in \\R{N}),
   REF => 'laplace',
   WHAT => '',
},{
   SOURCE => 'legendre',
   DATE => 'February 4, 2008',
   TITLE => qq(Legendre Polynomials),
   REF => 'legendre',
   WHAT => '',
},{
   SOURCE => 'levi',
   DATE => 'March 13, 2009',
   TITLE => qq(Levi-Civitica summation identity),
   REF => 'levi',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/levi.pdf',
   WHAT => qq(A summation identity given in Byron and Fuller, ch 1.  Initial proof with a perl script, then note equivalence to bivector dot product. ),
},{
   SOURCE => 'locateSatellite',
   DATE => 'April 13, 2008',
   TITLE => qq(Satellite triangulation over sphere),
   REF => 'locateSatellite',
   WHAT => '',
},{
   SOURCE => 'gaGradeDotWedge',
   DATE => 'March 17, 2008',
   TITLE => qq(An earlier attempt to intuitively introduce the dot, wedge, cross, and geometric products),
   REF => 'gaGradeDotWedge',
},{
   REF => 'gaWiki',
   TITLE => qq(Comparison of many traditional vector and GA identities),
   SOURCE => 'gaWiki',
   DATE => 'October 13, 2007',
},{
   SOURCE => 'gaWikiCramers',
   DATE => 'October 16, 2007',
   TITLE => qq(Cramer's rule),
   REF => 'gaWikiCramers',
},{
   SOURCE => 'gaWikiTorque',
   DATE => 'October 13, 2007',
   TITLE => qq(Torque),
   REF => 'gaWikiTorque',
   WHAT => '',
},{
   SOURCE => 'gaussianSurface',
   DATE => 'November 22, 2008',
   TITLE => qq(Gaussian Surface invariance for radial field),
   REF => 'gaussianSurface',
   WHAT => '',
},{
   SOURCE => 'gem',
   DATE => 'October 26, 2008',
   TITLE => qq(GravitoElectroMagnetism),
   REF => 'gem',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/gem.pdf',
   WHAT => 'Rough notes (mostly questions) about GravitoElectroMagnetism.',
},{
   SOURCE => 'gradientAndForms',
   DATE => 'March 31, 2008',
   TITLE => qq(Exterior derivative and chain rule components of the gradient),
   REF => 'gradientAndForms',
   WHAT => '',
},{
   SOURCE => 'lorentz',
   DATE => 'June 25, 2008',
   TITLE => qq(Wave equation based Lorentz transformation derivation),
   REF => 'PJLorentzWave',
#   BIBREF => 'PJLorentzWave',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/lorentz.pdf',
   WHAT => "A derivation of the Lorentz transformation requiring invariance of electrodynamic wave equation.  A mechanical approach very similar to the usual spherical light shell invariance, but one that doesn't require the difficult conceptualization of speed of light invariance.",
},
# {
#   REF => 'lorentzRotation',
#   TITLE => qq(Lorentz Force Trajectory),
#   SOURCE => 'lorentzRotation',
#   DATE => 'May 7, 2008',
#   #URL => 'http://sites.google.com/site/peeterjoot/maxwell/lorentz_rotation.pdf',
#   WHAT => '',
#},
{
   REF => 'macroscopicMaxwell',
   TITLE => qq(Macroscopic Maxwell's equation),
   SOURCE => 'macroscopicMaxwell',
   DATE => 'May 28, 2009',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/macroscopic_maxwell.pdf',
   WHAT => qq(Got my "new" second hand 2nd ed. of Jackson's Classical Electrodynamics in the mail, and got distracted reading the introduction.  Turns out that a trivector "current" term (with basis vectors in the Dirac vector space) to supplement the four-vector current completely summarizes the mess of \$B,D,H,E,M,P,J,\\rho\$ variables nicely in a fashion very similar to the \$\\grad F = J\$ variation of Maxwell's equation for the microscopic case.),
},{
   REF => 'massVaryLagrangian',
   TITLE => qq(Equations of motion given mass variation with spacetime position),
   SOURCE => 'massVaryLagrangian',
   DATE => 'August 28, 2008',
   BIBREF => 'PJMassVary',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/mass_vary_lagrangian.pdf',
   WHAT => '',
},{
   REF => 'matrixOfLinearTx',
   TITLE => qq(Matrix of grade k multivector linear transformations),
   SOURCE => 'matrixOfLinearTx',
   DATE => 'May 16, 2008',
   WHAT => '',
},{
   REF => 'maxwellsGa',
   TITLE => qq(Maxwell's equations expressed with Geometric Algebra),
   SOURCE => 'maxwellsGa',
   DATE => 'January 29, 2008',
   WHAT => '',
},
{
   REF => 'nfcmCh2',
   TITLE => qq(Some NFCM exercise solutions and notes),
   SOURCE => 'nfcmCh2',
   DATE => 'November 27, 2008',
   WHAT => '',
},{
   REF => 'orthodecomp',
   TITLE => qq(Orthogonal decomposition take II),
   SOURCE => 'orthodecomp',
   DATE => 'April 1, 2008',
},{
   REF => 'outermorphismDet',
   TITLE => qq(OuterMorphism Question ),
   SOURCE => 'outermorphismDet',
   DATE => 'September 2, 2008',
   WHAT => '',
},{
   REF => 'pauliMatrix',
   TITLE => 'Pauli Matrixes in Clifford Algebra',
   SOURCE => 'pauliMatrix',
   DATE => 'December 6, 2008',
   BIBREF => 'PJpauliMatrix',
   URL => 'http://sites.google.com/site/peeterjoot/math/pauli_matrix.pdf',
   WHAT => 'Pauli algebra notes.  Apply the Pauli algebra in a GA like fashion for spatial relationships.  Wedge, dot and cross products expressed in terms of commutator and anticommutators.',
},{
   REF => 'plane',
   TITLE => qq(More details on NFCM plane formulation),
   SOURCE => 'plane',
   DATE => 'January 1, 2008',
   WHAT => '',
},{
   REF => 'projectionAndMoorePenroseVectorInverse',
   TITLE => qq(Projection and Moore-Penrose vector inverse),
   SOURCE => 'projectionAndMoorePenroseVectorInverse',
   DATE => 'May 16, 2008',
   WHAT => '',
},{
   REF => 'quaternion',
   TITLE => qq(Quaternions),
   SOURCE => 'quaternion',
   DATE => 'February 2, 2008',
   WHAT => '',
},{
   REF => 'reciprocalFrame',
   TITLE => qq(Reciprocal Frame Vectors),
   SOURCE => 'reciprocalFrame',
   DATE => 'March 29, 2008',
   WHAT => '',
},{
   REF => 'scalarCommutes',
   TITLE => qq(Multivector product grade zero terms),
   SOURCE => 'scalarCommutes',
   DATE => 'March 16, 2008',
   WHAT => '',
},{
   REF => 'schCurrent',
   TITLE => qq(Schr\\"{o}dinger equation probability conservation),
   SOURCE => 'schCurrent',
   DATE => 'January 11, 2009',
   BIBREF => 'PJprobCurrent',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/sch_current.pdf',
   WHAT => "Schrodinger probability density and current conservation equation, and comparison of four-vectorized current to Dirac Lagrangian.

Calculating the rate of change of probability, and using Schrodinger's equation and its conjugate allows for the definition of a probability current, and an electromagnetic like probability-density/current-density conservation law.

What I thought was interesting was that if you put this into a four vector form as a spacetime divergence (ie: the Lorentz gauge of electrodynamics), the resulting 'four-component' current vector needs only a \$\\gamma^0 \\partial_0\$ term to be added to it, for that current itself to be the Dirac Lagrangian (omitting the local-gauge term eA).  So it looks like taking the spacetime divergence of the Dirac Lagrangian essentially gives you the probability/current conservation equation (except now this would also produce an extra timelike term not there in the original Schrodinger's equation.)  There are some notational differences with the wikipedia form of the Dirac Lagrangian, but I believe all the basic content is there once those differences are accounted for.  Very surprising to see the Dirac Lagrangian fall so naturally out of the Schrodinger (non-relativistic) equation.

I also observe that the probability wave function is perhaps naturally expressed as a relativistic four vector (with a \$\\gamma_0\$ term factored out).  I still don't understand how Maxwell's equation and QM fit together, but with Maxwell's equation or Lagrangian expressible strictly in terms of four vectors (or the four-gradient and four-curl of such four vectors), there would be a logical cleanliness if one could also express the (relativistic) QM laws strictly in terms of four vectors.  Definitely worth playing with.
",
},{
   REF => 'sgMx41',
   TITLE => qq(Magnetic field between two parallel wires),
   SOURCE => 'sgMx41',
   DATE => 'July 20, 2008',
   WHAT => '',
},{
   REF => 'slerp',
   TITLE => qq(Rotor interpolation calculation),
   SOURCE => 'slerp',
   DATE => 'November 30, 2008',
   WHAT => '',
},{
   REF => 'spacetimegrad',
   TITLE => qq(Lorentz transformation of spacetime gradient),
   SOURCE => 'spacetimegrad',
   DATE => 'July 16, 2008',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/spacetimegrad.pdf',
   WHAT => '',
},{
   REF => 'tensor',
   TITLE => qq(Gradient and tensor notes),
   SOURCE => 'tensor',
   DATE => 'June 6, 2008',
   WHAT => '',
},
{
   REF => 'trivector',
   TITLE => qq(Trivector geometry),
   SOURCE => 'trivector',
   DATE => 'March 9, 2008',
   WHAT => '',
},{
   SOURCE => 'velocityTx',
   TITLE => qq(Understanding four velocity transform from rest frame),
   DATE => 'August 13, 2008',
   REF => 'velocityTx',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/velocity_tx.pdf',
   WHAT => 'Explicit expansion of Lorentz boost applied to rest frame event vector.',
},
{
   SOURCE => 'emVacWave',
   TITLE => qq(Wave equation form of Maxwell's equations),
   DATE => 'June 21, 2009',
   REF => 'emVacWave',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/emVacWave.pdf',
   WHAT => "Fill in missing details from Jackson, and find the wave equation from Maxwell's equations with and without Geometric Algebra",
}
,{
   SOURCE => 'frequencyTx',
   TITLE => qq(Relativistic Doppler formula),
   DATE => 'June 27, 2009',
   REF => 'frequencyTx',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/frequencyTx.pdf',
   WHAT => 'Deriving the Doppler shift result with a Lorentz boost is much simpler than the time dilation argument in wikipedia.',
}
,{
   SOURCE => 'poincareTx',
   TITLE => qq(Poincare transformations),
   DATE => 'June 1, 2009',
   REF => 'poincareTx',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/poincareTx.pdf',
   WHAT => 'A paper used a specific antisymmetric object for linearized Poincare transformations.  Try to figure this out.  Turns out to be a representation of the bivector that encodes the plane of rotation or spacetime boost plane.',
}
,{
   SOURCE => 'maxwellVacuum',
   TITLE => qq(Space time algebra solutions of the Maxwell equation for discrete frequencies),
   DATE => 'July 2, 2009',
   REF => 'maxwellVacuum',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/maxwellVacuum.pdf',
   WHAT => 'Exploring vacuum Maxwell solutions using Geometric Algebra formalism.  Motivate with Fourier transform techniques, and examine the result and constraints required for solution.',
}
,{
   SOURCE => 'stokesGradeTwo',
   TITLE => qq(Stokes theorem applied to vector and bivector fields),
   DATE => 'July 17, 2009',
   REF => 'stokesGradeTwo',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/stokesGradeTwo.pdf',
   WHAT => 'Tackle Stokes theorem again.',
}
,{
   SOURCE => 'stokesNoTensor',
   TITLE => qq(Stokes theorem derivation without tensor expansion of the blade),
   DATE => 'July 21, 2009',
   REF => 'stokesNoTensor',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/stokesNoTensor.pdf',
   WHAT => 'Yet another attack at Stokes theorem.  Finally get one that I like here.',
}
,{
   SOURCE => 'qmAngularMom',
   TITLE => qq(Bivector form of quantum angular momentum operator),
   DATE => 'July 27, 2009',
   REF => 'qmAngularMom',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/qmAngularMom.pdf',
   WHAT => 'Exploring a wedge product formulation of the angular momentum operator in Cartesian and spherical polar representations.  Lots of good stuff here!',
}
,{
   SOURCE => 'transverseField',
   TITLE => qq(Transverse electric and magnetic fields),
   DATE => 'July 30, 2009',
   REF => 'transverseField',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/transverseField.pdf',
   WHAT => 'Coupling between transverse and propagation direction components of wave guide solutions is examined using Geometric Algebra.',
}
,{
   SOURCE => 'L1Associated',
   TITLE => qq(Graphical representation of Spherical Harmonics for \$l=1\$),
   DATE => 'Aug 16, 2009',
   REF => 'L1Associated',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/L1Associated.pdf',
   WHAT => 'Observations that the first set of spherical harmonic associated Legendre eigenfunctions have a natural representation as projections from rotated spherical polar rotation points.',
}
,{
   SOURCE => 'transverseWave',
   TITLE => qq(Comparing phasor and geometric transverse solutions to the Maxwell equation),
   DATE => 'Aug 6, 2009',
   REF => 'transverseWave',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/transverseWave.pdf',
   WHAT => 'Attempting to use the pseudoscalar as the imaginary in a wave equation phasor expression leads to specific results.  Examine these and contrast to scalar imaginary phasors.',
}
,{
   SOURCE => 'covariantMedia',
   TITLE => qq(Covariant Maxwell equation in media),
   DATE => 'Aug 10, 2009',
   REF => 'covariantMedia',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/covariantMedia.pdf',
   WHAT => 'Formulate the Maxwell equation in media (from Jackson) without an explicit spacetime split.',
}
,{
   SOURCE => 'radiationGeometry',
   TITLE => qq((INCOMPLETE) Geometry of Maxwell radiation solutions),
   DATE => 'Aug 14, 2009',
   REF => 'radiationGeometry',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/radiationGeometry.pdf',
   WHAT => "After having some trouble with pseudoscalar phasor representations of the wave equation, step back and examine the geometry that these require.  Find that the use of \$I\\zcap\$ for the imaginary means that only transverse solutions can be encoded.",
}
,{
   SOURCE => 'rotationGenerator',
   TITLE => qq(Generator of rotations in arbitrary dimensions.),
   DATE => 'Aug 31, 2009',
   REF => 'rotationGenerator',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/rotationGenerator.pdf',
   WHAT => 'Similar to the exponential translation operator, the exponential operator that generates rotations is derived.  Geometric Algebra is used (with an attempt to make this somewhat understandable without a lot of GA background).  Explicit coordinate expansion is also covered, as well as a comparison to how the same derivation technique could be done with matrix only methods.  The results obtained apply to Euclidean and other metrics and also to all dimensions, both 2D and greater or equal to 3D (unlike the cross product form).',
},
{
   SOURCE => 'bivectorSelect',
   TITLE => qq(Bivector grades of the squared angular momentum operator.),
   DATE => 'Sept 6, 2009',
   REF => 'bivectorSelect',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/bivectorSelect.pdf',
   WHAT => 'The squared angular momentum operator can potentially have scalar, bivector, and (four) pseudoscalar components (depending on the dimension of the space).  Here just the bivector grades of that product are calculated.  With this the complete factorization of the Laplacian can be obtained.'
}
,{
   SOURCE => 'nuclearInteraction',
   TITLE => qq(Relativistic classical proton electron interaction.),
   DATE => 'Sept 13, 2009',
   REF => 'nuclearInteraction',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/nuclearInteraction.pdf',
   WHAT => 'An attempt to setup (but not yet solve) the equations for relativistically correct proton electron interaction.'
}
,{
   SOURCE => 'sphericalPolarUnit',
   TITLE => qq(Spherical Polar unit vectors in exponential form.),
   DATE => 'Sept 20, 2009',
   REF => 'sphericalPolarUnit',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/sphericalPolarUnit.pdf',
   WHAT => 'An exponential representation of spherical polar unit vectors.  This was observed when considering the bivector form of the angular momentum operator, and is reiterated here independent of any quantum mechanical context.'
}
,{
   SOURCE => 'jackson12Dash1Gauge',
   TITLE => qq(Electromagnetic Gauge invariance.),
   DATE => 'Sept 24, 2009',
   REF => 'jackson12Dash1Gauge',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/jackson12Dash1Gauge.pdf',
   WHAT => 'Show the gauge invariance of the Lorentz force equations.  Start with the four vector representation since these transformation relations are simpler there and then show the invariance in the explicit space and time representation.'
}
,
{
   SOURCE => 'complexFieldEnergy',
   TITLE => qq(Energy and momentum for Complex electric and magnetic field phasors.),
   DATE => 'Dec 13, 2009',
   REF => 'complexFieldEnergy',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/complexFieldEnergy.pdf',
   WHAT => qq(Work out the conservation equations for the energy and Poynting vectors in a complex representation.  This fills in some gaps in Jackson, but tackles the problem from a GA starting point.),
},
{
   SOURCE => 'fourierMaxVac',
   TITLE => qq(Electrodynamic field energy for vacuum.),
   DATE => 'Dec 16, 2009',
   REF => 'fourierMaxVac',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/fourierMaxVac.pdf',
   WHAT => qq(Apply the previous complex energy momentum tensor results to the calculation that Bohm does in his QM book for vacuum energy of a periodic electromagnetic field.  I'd tried to do this a couple times using complex exponentials and never really gotten it right because of attempting to use the pseudoscalar as the imaginary for the phasors, instead of introducing a completely separate commuting imaginary.  The end result is an energy expression for the volume element that has the structure of a mechanical Hamiltonian.),
}
,{
   SOURCE => 'ftMaxVacuum',
   TITLE => qq(Energy and momentum for assumed Fourier transform solutions to the homogeneous Maxwell equation.),
   DATE => 'Dec 21, 2009',
   REF => 'ftMaxVacuum',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/ftMaxVacuum.pdf',
   WHAT => 'Fourier transform instead of series treatment of the previous, determining the Hamiltonian like energy expression for a wave packet.'
}
,{
   SOURCE => 'intersectionNewton',
   TITLE => qq(Newton's method for intersection of curves in a plane.),
   DATE => 'Mar 7, 2010',
   REF => 'intersectionNewton',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/intersectionNewton.pdf',
   WHAT => qq(Refresh my memory on Newton's method.  Then take the same idea and apply it to finding the intersection of two arbitrary curves in a plane.  This provides a nice example for the use of the wedge product in linear system solutions.  Curiously, the more general result for the iteration of an intersection estimate is tidier and prettier than that of a curve with a line.),
}
,{
   SOURCE => 'torusCenterOfMass',
   TITLE => qq(Center of mass of a toroidal segment.),
   DATE => 'May 15, 2010',
   REF => 'torusCenterOfMass',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/torusCenterOfMass.pdf',
   WHAT => qq(Calculate the volume element for a toroidal segment, and then the center of mass.  This is a nice application of bivector rotation exponentials.),
}
,{
   SOURCE => 'sphericalPolarLaplacian',
   TITLE => qq(Derivation of the spherical polar Laplacian),
   DATE => 'Oct 20, 2010',
   REF => 'sphericalPolarLaplacian',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/sphericalPolarLaplacian.pdf',
   WHAT => qq(A derivation of the spherical polar Laplacian.),
}
,{
   SOURCE => 'boostCommutation',
   TITLE => qq(Multivector commutators and Lorentz boosts.),
   DATE => 'Oct 30, 2010',
   REF => 'boostCommutation',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/boostCommutation.pdf',
   WHAT => qq(Use of commutator and anticommutator to find components of a multivector that are effected by a Lorentz boost.  Utilize this to boost the electrodynamic field bivector, and show how a small velocity introduction perpendicular to the a electrostatics field results in a specific magnetic field.  ie.  consider the magnetic field seen by the electron as it orbits a proton.)
}
#,{
#   SOURCE => 'XX',
#   TITLE => qq(),
#   DATE => '',
#   REF => 'XX',
#   URL => 'http://sites.google.com/site/peeterjoot/math2010/XX.pdf',
#   WHAT => qq(),
#}
,{
   SOURCE => 'juliaVector',
   TITLE => qq(Vector form of Julia fractal.),
   DATE => 'Dec 27, 2010',
   REF => 'juliaVector',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/juliaVector.pdf',
   WHAT => qq(Vector form of Julia fractal.),
}
,{
   SOURCE => 'matrixVectorPotentials',
   TITLE => qq(A cylindrical Lienard-Wiechert potential calculation using multivector matrix products.),
   DATE => 'April 30, 2011',
   REF => 'matrixVectorPotentials',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/matrixVectorPotentials.pdf',
   WHAT => qq(A cylindrical Lienard-Wiechert potential calculation using multivector matrix products.),
}
,{
   SOURCE => 'infinitesimalRotation',
   TITLE => qq(Infinitesimal rotations.),
   DATE => 'Jan 27, 2012',
   REF => 'infinitesimalRotation',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/infinitesimalRotation.pdf',
   WHAT => qq(Derive the cross product result for infinitesimal rotations with and without GA.)
}
,{
   SOURCE => 'gaQuickIntro',
   TITLE => qq(Geometric Algebra.  The very quickest introduction.),
   DATE => 'Mar 16, 2012',
   REF => 'gaQuickIntro',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/gaQuickIntro.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'nvolume',
   DATE => 'February 26, 2009',
   TITLE => qq(Spherical and hyperspherical parametrization),
   REF => 'nvolume',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/nvolume.pdf',
   WHAT => "Volume calculations for 1-sphere (circle), 2-sphere (sphere), 3-sphere (hypersphere).  Followup with a calculation of the differential volume element for the hypersphere (ie: Minkowski spaces of signature (+,-,-,-).  Plan to use these results in an attempt to reduce the 4D hyperbolic Green's functions that we get from Fourier transforming Maxwell's equation. ",
},
{
   SOURCE => 'obliqueProj',
   DATE => 'May 16, 2008',
   TITLE => qq(Oblique projection and reciprocal frame vectors),
   REF => 'obliqueProj',
   WHAT => '',
},
{
   SOURCE => 'potentialFourier',
   DATE => 'February 7, 2009',
   TITLE => qq(Lorentz Gauge Fourier Vacuum potential solutions),
   REF => 'potentialFourier',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/potential_fourier.pdf',
   WHAT => qq(Split from the first order treatment. ),
}
,{
   SOURCE => 'gaPlaneWaveSolutions',
   TITLE => qq(Plane wave solutions in linear isotropic charge free media using Geometric Algebra),
   DATE => 'Sept 2, 2012',
   REF => 'gaPlaneWaveSolutions',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/gaPlaneWaveSolutions.pdf',
   WHAT => qq(Work through the plane wave solution to Maxwell's equation in linear isotropic charge free media without boundary value constraints.  I may have attempted to blunder through this before, but believe this to be more clear than any previous attempts.  What's missing is relating this to polarization states of different types and relationships to Jones vectors and so forth.  Also, it's likely possible to express things in a way that doesn't require taking any real parts provided one uses the pseudoscalar instead of the scalar complex imaginary appropriately.)
}
,{
   SOURCE => 'tangentAndNormalVectors',
   TITLE => qq(Tangent planes and normals in three and four dimensions),
   DATE => 'January 04, 2013',
   REF => 'tangentAndNormalVectors',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/tangentAndNormalVectors.pdf',
   WHAT => qq(Figure out how to express a surface normal in 3d and a "volume" normal in 4d.)
}
,
{
   REF => 'lorentzForceTx',
   TITLE => qq(Lorentz boost of Lorentz force equations),
   SOURCE => 'lorentzForceTx',
   DATE => 'May 23, 2009',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/lorentz_force_tx.pdf',
   WHAT => qq(My own attempt to walk through the Lorentz transformation of the pair of Lorentz force and power equations, as done in Bohm's 'The Special Theory of Relativity'.  Bohm's text left out a number of details, as well as had a number of sign typos and some dropped terms.  Try to get it right.  Was able to do some of it, but part of the final "the reader can verify bits" have me stumped.  How to do those last bits is not obvious to me, which is likely why Bohm left this out of this pseudo-layman book.  This set of notes starts off with a large digression on how to express and translate from the GA hyperbolic exponential Lorentz boost formulation to the "classical" coordinate and vector representations used in the Bohm text and other places.  My initial reason for writing that up for myself all in one place was that I intended to try the Lorentz force boost procedure of the Bohm text completely in GA form, but I also have not gotten to attempting that.  My goal was to finish the details of the "old-fashioned" way first, but the algebra for that way is so messy I don't see how to do it. ),
},
{
   SOURCE => 'polarGradAndLaplacian',
   TITLE => qq(Polar form for the gradient and Laplacian.),
   DATE => 'Dec 1, 2009',
   REF => 'polarGradAndLaplacian',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/polarGradAndLaplacian.pdf',
   WHAT => qq(Explore a chain rule derivation of the polar form of the Laplacian, and the validity of my old First year Professor's statements about divergence of the gradient being the only way to express the general Laplacian.  His insistence that the grad dot grad not being generally valid is reconciled here with reality, and the key is that the action on the unit vectors also has to be considered.),
},
) ; # @gabook

# miscphysics
my @miscphysics =
({
   SOURCE => 'accFourVector',
   DATE => 'April 10, 2009',
   REF => 'accFourVector',
   TITLE => 'Relativistic acceleration',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/acc_four_vector.pdf',
   WHAT => qq(Acceleration four vector notes.  Also from reading Pauli.),
},{
   SOURCE => 'binomial',
   DATE => 'March 26, 2009',
   REF => 'binomial',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/binomial.pdf',
   TITLE => 'Integer binomial theorem induction, the easy dumb way',
},{
   SOURCE => 'bohm11',
   DATE => 'May 8, 2009',
   REF => 'bohm11',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/bohm11.pdf',
   TITLE => 'QM notes and problems for Bohm, chapter 11',
},{
   SOURCE => 'bohmCh10',
   DATE => 'April 23, 2009',
   REF => 'bohmCh10',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/bohm_ch10.pdf',
   TITLE => "Select problems from Chapter 10 of Bohm's Quantum Theory.",
},{
   SOURCE => 'bohmCh9',
   DATE => 'March 6, 2009',
   REF => 'bohmCh9',
   TITLE => 'Bohm Chapter 9 problems',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/bohm_ch9.pdf',
   WHAT => qq(Have done all but one of these problems, and now written up solutions to a subset of these. ),
},
{
   SOURCE => 'byronFullerCalcVar',
   DATE => 'March 21, 2009',
   REF => 'byronFullerCalcVar',
   TITLE => 'Worked calculus of variations problems from Byron and Fuller',
   BIBREF => 'PJbyronFullerCalcVarProblems',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/byron_fuller_calc_var.pdf',
   WHAT => qq(Pi-Meson problem from the calculus of variations problems of Byron and Fuller.  Also compute the Noether current for phase invariance, and the attempt to show how a local gauge phase transformation leads to the interaction Lagrangian.  I end up with one term having a different sign than in the original, and can't spot an error.  Is there a sign error in the problem of the text?   Do the Snell's law problem, at least the first part, showing the angle relation by minimizing the path over time.),
},{
   SOURCE => 'commutatorHerm',
   DATE => 'April 13, 2009',
   REF => 'commutatorHerm',
   TITLE => 'Commutator and Anti-Commutator Hermitian-ness',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/commutator_herm.pdf',
   WHAT => "Proving that the i-commutator (imaginary scaled) and anticommutator operators are Hermitian (given Hermitian operators).  Notes from reading of Pauli's wave mechanics.",
},
{
   SOURCE => 'crossOld',
   DATE => 'May 1, 2000',
   REF => 'crossOld',
   TITLE => 'Early cross product generalization and motivation attempt',
},{
   SOURCE => 'cross',
   DATE => 'October 12, 2007',
   REF => 'cross',
   TITLE => 'The cross product in three and more dimensions',
},{
   SOURCE => 'debroglie',
   DATE => 'October 25, 2008',
   REF => 'debroglie',
   TITLE => 'Some notes on DeBroglie paper',
   URL => 'http://sites.google.com/site/peeterjoot/math/debroglie.pdf',
   WHAT => "Some very rough notes on a reading of a translation of the DeBroglie thesis.

I'd like to revisit this paper, but have to revisit wave basics better first (ie: phase and group velocity, Doppler shift, ...).   These notes are strictly SR clarifications for myself at this point.",
},{
   SOURCE => 'deltaOrthoSeries',
   DATE => 'March 8, 2009',
   REF => 'deltaOrthoSeries',
   TITLE => 'Dirac delta function in terms of orthogonal functions',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/delta_ortho_series.pdf',
   WHAT => qq(Explore the delta function representation given in Pauli's book, and express some of Pauli's content in my own words to build understanding, and relate Fourier series and transforms under the general umbrella of orthonormal inner product spaces. ),
},{
   SOURCE => 'distributions',
   DATE => 'March 4, 2009',
   REF => 'distributions',
   TITLE => 'Applications of Fourier distribution theory to some PDEs',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/distributions.pdf',
   WHAT => qq(Solve the homogeneous first order advanced wave equation in one variable using classical Fourier techniques and also the distribution formalism to compare the two, and get a feel for the latter.  This applies the distribution techniques from Prof Brad Osgood's Fourier lectures, as heard on Stanford on iTunesU.  After listening to the distribution lectures, I wasn't convinced that this method would be practical, but the proof is in the application.  I was surprised that it is actually simpler, with no "so many words" requirements to pull delta functions out of magic hats from PV sinc evaluations of the exponential integral. ),
#A test application of the Fourier distribution theory   .
#Solve the homogeneous first order advanced wave equation in one
#variable using classical Fourier techniques and also the distribution
#formalism to compare the two, and get a feel for the latter.  This
#applies the distribution techniques from Prof Brad Osgood's Fourier
#lectures (Stanford on iTunesU).  After listening to the distribution
#lectures, I wasn't convinced that this method would be practical, but
#the proof is in the application.  I was surprised that it is actually
#simpler, with no "so many words" requirements to pull delta functions
#out of magic hats from PV sinc
#evaluations of the exponential integral.
#<ul><li>moved from e&amp;m page, where I used to have "While
#this has no electrodynamics content, it's worthwhile for comparison
#purposes to collect this with all this other related Fourier treatment."
},{
   SOURCE => 'dotLinearity',
   DATE => 'March 13, 2009',
   REF => 'dotLinearity',
   TITLE => 'Dot product linearity by construction',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/dot_linearity.pdf',
   WHAT => qq(Dot product linearity using cosine form.  Also demonstrate the law of cosines.),
},{
   SOURCE => 'ehrenfest',
   DATE => 'January 22, 2009',
   REF => 'ehrenfest',
   TITLE => "Ehrenfest's theorem",
   URL => 'http://sites.google.com/site/peeterjoot/math2009/ehrenfest.pdf',
   WHAT => qq(A dumbed down derivation of the one dimensional Ehrenfest theorem.  This theorem expresses the classical limit of QM in terms of expectation values of the position and momentum operators.  Rather than use the slick and fancy operator commutator formalism, which I haven't taken the time to learn yet, do this with just integration by parts. ),
},
{
   SOURCE => 'fletcher',
   DATE => 'March 1, 2009',
   REF => 'fletcher',
   TITLE => 'fletcher64',
},{
   SOURCE => 'fvec',
   DATE => 'June 10, 2008',
   REF => 'fvec',
   TITLE => 'Relativistic dynamics from Lagrangian',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/fvec.pdf',
   WHAT => 'Summarizing for myself the various four-vectors of mechanics.',
},
{
   SOURCE => 'gaussian',
   DATE => 'January 05, 2009',
   REF => 'gaussian',
   TITLE => 'Evaluating the Gaussian integral',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/gaussian.pdf',
   WHAT => qq(Nothing fancy, but I couldn't remember how to do it at first.  Also added the next two degree Gaussian integrals, and a derivation of the recurrence relations for the higher degree variations. ),
},
{
   SOURCE => 'harmonicOsc',
   DATE => 'April 19, 2009',
   REF => 'harmonicOsc',
   TITLE => 'Quantum Harmonic Oscillator',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/harmonic_osc.pdf',
   WHAT => qq(First two energy level solutions without using the fancier operator raising or lowering methods. ),
},
{
   SOURCE => 'kleinGordon',
   DATE => 'March 27, 2009',
   REF => 'kleinGordon',
   TITLE => 'Some Klein-Gordon equation notes',
   BIBREF => 'PJkgNotes',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/klein_gordon.pdf',
   WHAT => qq(To get the feel for global and local gauge transformations, work through this for the KG equation, as Susskind did in his relativity lecture.  As context, examined the equation and its solution a bit as well. ),
},
{
   SOURCE => 'maxwell',
   DATE => 'March 25, 2000',
   REF => 'maxwell',
   TITLE => "Various formulations of Maxwell's equations",
},{
   SOURCE => 'mpInverseSvdRoughNotes',
   DATE => 'May 15, 2008',
   REF => 'mpInverseSvdRoughNotes',
   TITLE => 'Singular Value Decomposition',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/mp_inverse_svd_rough_notes.pdf',
   WHAT => 'Rough notes on Moore Penrose Inverse and SVD',
},
{
   SOURCE => 'pauliFourVectorV',
   DATE => 'April 8, 2009',
   REF => 'pauliFourVectorV',
   TITLE => 'Four vector velocity addition notes',
   BIBREF => 'PJrelativityFourVectorVelocity',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/pauli_four_vector_v.pdf',
   WHAT => qq(Reconcile the covariant velocity addition formula, via Lorentz boost, with the traditional introductory differential division presentation.  Further reading of Pauli's Theory of relativity' text prompted this bit of self clarification.),
},{
   SOURCE => 'pauliQmRelativityIntro',
   DATE => 'January 24, 2009',
   REF => 'pauliQmRelativityIntro',
   TITLE => qq(Pauli's relativity background in QM intro from "Wave Mechanics"),
   URL => 'http://sites.google.com/site/peeterjoot/math2009/pauli_qm_relativity_intro.pdf',
   WHAT => qq(Relativity equations of motion from a Hamiltonian treatment.  A walk through of Pauli's relativity intro from his "Wave Mechanics" book at my own pace.),
},{
   SOURCE => 'pe',
   DATE => 'July 28, 2008',
   REF => 'pe',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/pe.pdf',
   TITLE => 'Potential and Kinetic Energy',
},
{
   SOURCE => 'pythagoras',
   DATE => 'March 17, 2008',
   REF => 'pythagoras',
   TITLE => 'Pythagoras law',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/pythagoras.pdf',
   WHAT => '2D diagrammatic proof, and justification of the 3D/ND coordinate length rule/definition.',
},{
   SOURCE => 'qmBarrier',
   DATE => 'May 11, 2009',
   REF => 'qmBarrier',
   TITLE => 'One dimensional rectangular Quantum barrier penetration problem',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/qm_barrier.pdf',
   WHAT => qq(Work through all the messy algebra, for the wave function calculation, and determine the coefficients, the probability densities, and the probability currents, in full gory detail.  This was in response to problem 11.4 of Bohm, and an attempt to reconcile a first busted attempt at that problem with other sources such as wikipedia and QMD. ),
},{
   SOURCE => 'qmSusskind',
   DATE => 'December 23, 2008',
   REF => 'qmSusskind',
   TITLE => "Notes on Susskind's QM Lecture",
   BIBREF => 'PJQmSusskind',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/qm_susskind.pdf',
   WHAT => "Some very rough notes on Susskind's photon polarization lectures from iTunes U.  Bra and Ket notations, projections, dual space, Hermitian operators, position and momentum eigenfunctions and states, QM postulates.",
},
{
   SOURCE => 'qmdCh2quiz',
   DATE => 'January 12, 2009',
   REF => 'qmdCh2quiz',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/qmd_ch2quiz.pdf',
   TITLE => 'Chapter II quiz problems from Quantum Mechanics Demystified.',
},{
   SOURCE => 'rapidity',
   DATE => 'December 18, 2008',
   REF => 'rapidity',
   URL => "http://sites.google.com/site/peeterjoot/math/rapidity.pdf",
   TITLE => 'Some rapidity angle notes',
},
{
   SOURCE => 'sch',
   DATE => 'December 13, 2008',
   REF => 'sch',
   TITLE => 'Ad-hoc motivation of some QM wave equations',
   URL => 'http://sites.google.com/site/peeterjoot/math/sch.pdf',
   WHAT => 'Ad hoc motivation of the Schrodinger, Klein-Gordan, and Dirac equations in the usual introductory energy conservation forms.',
},
{
   SOURCE => 'starDistance',
   DATE => 'January 17, 2000',
   REF => 'starDistance',
   TITLE => 'Triangulating distance to a star from orbital angle measurements.',
   URL => 'http://sites.google.com/site/peeterjoot/2007-math-notes-archive/star_distance.pdf',
   WHAT => "Derive the star distance calculation in the Feynman lectures.  One of my earliest latex attempts ever, adding details from Feynman's star distance discussion in the lectures",
},
{
   SOURCE => 'taylors',
   DATE => 'February 2, 2008',
   REF => 'taylors',
   URL => 'http://sites.google.com/site/peeterjoot/taylors/taylors.pdf',
   TITLE => "Taylor's theorem deviation",
},
{
   SOURCE => 'velocityAddition',
   DATE => 'December 25, 2008',
   REF => 'velocityAddition',
   TITLE => 'Some notes on Pauli Relativity Velocity addition',
   BIBREF => 'PJpauliVelocityAddition',
   URL => 'http://sites.google.com/site/peeterjoot/math/velocity_addition.pdf',
   WHAT => "Walk through the details of the relativistic velocity addition from Pauli's book.",
},
{
   SOURCE => 'wavepacket',
   DATE => 'February 16, 2009',
   REF => 'wavepacket',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/wavepacket.pdf',
   TITLE => 'Simple Wave Packet Examples',
   WHAT => "Perform some of the wave packet integrals from Bohm's book.   Work the integrals for the three wave packet examples in the text in full detail (unweighted plane wave summed over a small continuous range of frequencies, gaussian wave packet, and gaussian wave packet with frequency expanded up to second order frequency Taylor series terms).",
},{
   SOURCE => 'wavevariation',
   DATE => 'April 27, 2009',
   REF => 'wavevariation',
   TITLE => 'Simple minded variation of one dimensional wave equation Lagrangian',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/wavevariation.pdf',
   WHAT => qq(Getting from the Lagrangian to the wave equation, without using the field form of the Euler-Lagrange equations. ),
},
{
   SOURCE => 'sphericalHarmonicRaising',
   DATE => 'Aug 18, 2009',
   REF => 'sphericalHarmonicRaising',
   TITLE => 'Spherical harmonic Eigenfunctions by application of the raising operator',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/sphericalHarmonicRaising.pdf',
},
{
   SOURCE => 'invarianceEnMom',
   DATE => 'June 21, 2009',
   REF => 'invarianceEnMom',
   TITLE => 'Lorentz invariance of energy momentum four vector',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/invarianceEnMom.pdf',
   WHAT => '',
},
{
   SOURCE => 'jacksonRetarded',
   TITLE => qq(Reader notes for Jackson 12.11, Retarded time solution to the wave equation.),
   DATE => 'Sept 19, 2009',
   REF => 'jacksonRetarded',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/jacksonRetarded.pdf',
   WHAT => '',
}
,
{
   SOURCE => 'quadraticForm',
   TITLE => qq(Linear transformations that retain two by two positive definiteness.),
   DATE => 'Oct 4, 2009',
   REF => 'quadraticForm',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/quadraticForm.pdf',
   WHAT => '',
}
,{
   SOURCE => 'constFourMomentum',
   TITLE => qq(Force free relativistic motion.),
   DATE => 'Nov 15, 2009',
   REF => 'constFourMomentum',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/constFourMomentum.pdf',
   WHAT => '',
}
,{
   SOURCE => 'linearizeDE',
   TITLE => qq(Linearizing a set of regular differential equations.),
   DATE => 'Nov 13, 2009',
   REF => 'linearizeDE',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/linearizeDE.pdf',
   WHAT => '',
}
,
{
   SOURCE => 'jacobianSphericalPolar',
   TITLE => qq(Jacobians and spherical polar gradient.),
   DATE => 'Dec 6, 2009',
   REF => 'jacobianSphericalPolar',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/jacobianSphericalPolar.pdf',
   WHAT => '',
}
,{
   SOURCE => 'rotationUnitary',
   TITLE => qq(Rotations using matrix exponentials),
   DATE => 'July 27, 2010',
   REF => 'rotationUnitary',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/rotationUnitary.pdf',
   WHAT => qq(Calculating the exponential form for a unitary operator.  A unitary operator can be expressed as the exponential of a Hermitian operator.  Show how this can be calculated for the matrix representation of an operator.  Explicitly calculate this matrix for a plane rotation yields one of the Pauli spin matrices.  While not unitary, the same procedure can be used to calculate such a rotation like angle for a Lorentz boost, and we also find that the result can be expressed in terms of one of the Pauli spin matrices.),
}

,{
   SOURCE => 'exponentialCommutation',
   TITLE => qq(On commutation of exponentials),
   DATE => 'May 30, 2010',
   REF => 'exponentialCommutation',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/exponentialCommutation.pdf',
   WHAT => qq(Show that commutation of exponentials occurs if exponentiated terms also commute.),
}

,{
   SOURCE => 'liboff314',
   TITLE => qq(Time evolution of some wave functions),
   DATE => 'May 23, 2010',
   REF => 'liboff314',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/liboff314.pdf',
   WHAT => qq(Liboff, problem 3.14.),
}

,{
   SOURCE => 'liboff319',
   TITLE => qq(Effect of sinusoid operators),
   DATE => 'May 23, 2010',
   REF => 'liboff319',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/liboff319.pdf',
   WHAT => qq(Liboff, problem 3.19.),
}

,{
   SOURCE => 'liboff41',
   TITLE => qq(Infinite square well wavefunction.),
   DATE => 'May 31, 2010',
   REF => 'liboff41',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/liboff41.pdf',
   WHAT => qq(A QM problem from Liboff chapter 4.),
}

,{
   SOURCE => 'liboff43',
   TITLE => qq(More problems from Liboff chapter 4),
   DATE => 'June 25, 2010',
   REF => 'liboff43',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/liboff43.pdf',
   WHAT => qq(Liboff problems 4.11, 4.12, 4.14),
}

,{
   SOURCE => 'pauliFourier',
   TITLE => qq(Fourier transformation of the Pauli QED wave equation (Take I).),
   DATE => 'May 29, 2010',
   REF => 'pauliFourier',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/pauliFourier.pdf',
   WHAT => qq(Unsuccessful attempt to find a solution to the Pauli QM Hamiltonian using Fourier transforms.  Also try to figure out the notation from the Feynman book where I saw this.),
}

,
,{
   SOURCE => 'feynmanQEDerrata',
   TITLE => qq(Errata for Feynman's Quantum Electrodynamics (Addison-Wesley)?),
   DATE => 'May 28, 2010',
   REF => 'feynmanQEDerrata',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/feynmanQEDerrata.pdf',
   WHAT => qq(My collection of errata notes for some Feynman lecture notes on QED compiled by a student.),
}
,{
   SOURCE => 'stokesTensor',
   TITLE => qq(Exploring Stokes Theorem in tensor form.),
   DATE => 'Feb 20, 2011',
   REF => 'stokesTensor',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/stokesTensor.pdf',
   WHAT => qq(Exploring Stokes Theorem in tensor form.),
}
,{
   SOURCE => 'zeeTauMatrix',
   TITLE => qq(On tensor product generators of the gamma matrices.),
   DATE => 'June 20, 2011',
   REF => 'zeeTauMatrix',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/zeeTauMatrix.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'diracGauge',
   TITLE => qq(Gauge transformation of the Dirac equation.),
   DATE => 'Aug 4, 2011',
   REF => 'diracGauge',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/diracGauge.pdf',
   WHAT => qq(non-Covariant gauge transformation notes for the Dirac equation, and the corresponding non-relativistic approximation.)
}
,{
   SOURCE => 'desaiDiracAdjoint',
   TITLE => qq(Dirac spinor notes.),
   DATE => 'May 25, 2011',
   REF => 'desaiDiracAdjoint',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/desaiDiracAdjoint.pdf',
   WHAT => qq(Notes on Dirac spinor solutions.)
}
,{
   SOURCE => 'diracCovariant',
   TITLE => qq(Covariant gauge transformation of Dirac equation to get the spin adjusted Klein-Gordon equation.),
   DATE => 'Sept 1, 2011',
   REF => 'diracCovariant',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/diracCovariant.pdf',
   WHAT => qq(GA use of dot and wedge products to arrive at some of the Dirac equation results in Desai.  In particular multiplication of the (gauge transformed) Dirac equation by a conjugate of sorts results in the Klein-Gordon equation, but with the spin terms required for electrons. )
}
,{
   SOURCE => 'lorentzRotation',
   TITLE => qq(Lorentz Force Trajectory.),
   DATE => 'May 7, 2008.',
   REF => 'lorentzRotation',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/lorentzRotation.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'productDerivativeInduction',
   TITLE => qq(Induction for Nth derivative of a product),
   DATE => 'Jan 1, 2012',
   REF => 'productDerivativeInduction',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/productDerivativeInduction.pdf',
   WHAT => qq(Induction for Nth derivative of a product),
}
,{
   SOURCE => 'divisibleByThree',
   TITLE => qq(A condition for divisibility by three),
   DATE => 'November 26, 2012',
   REF => 'divisibleByThree',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/divisibleByThree.pdf',
   WHAT => qq()
}
,
{
   SOURCE => 'twoParticleCMLaplacian',
   TITLE => qq(Two particle center of mass Laplacian change of variables.),
   DATE => 'Nov 30, 2009',
   REF => 'twoParticleCMLaplacian',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/twoParticleCMLaplacian.pdf',
   WHAT => '',
}
) ; # @miscphysics

my @phy356 =
(
{
   SOURCE => 'desaiDiracNotes',
   TITLE => qq(Dirac Notation Ponderings.),
   DATE => 'July 23, 2010',
   REF => 'desaiDiracNotes',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/desaiDiracNotes.pdf',
   WHAT => qq(Chapter 1 solutions and some associated notes.),
}
,{
   SOURCE => 'gaugeInteractionHamiltonian',
   TITLE => qq(Classical Electrodynamic gauge interaction.),
   DATE => 'Oct 22, 2010',
   REF => 'gaugeInteractionHamiltonian',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/gaugeInteractionHamiltonian.pdf',
   WHAT => qq(Momentum and Energy transformation to derive Lorentz force law from a free particle Hamiltonian.),
}
,{
   SOURCE => 'desaiCh2',
   TITLE => qq(Desai Chapter II notes and problems.),
   DATE => 'Sept 19, 2010',
   REF => 'desaiCh2',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/desaiCh2.pdf',
   WHAT => qq(Chapter II Notes and problems for Desai's "Quantum Mechanics and Introductory Field Theory" text.),
}
,{
   SOURCE => 'desaiCh3',
   TITLE => qq(Notes and problems for Desai chapter III.),
   DATE => 'Oct 1, 2010',
   REF => 'desaiCh3',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/desaiCh3.pdf',
   WHAT => qq(Chapter III Notes and problems for Desai's "Quantum Mechanics and Introductory Field Theory" text.),
}
,{
   SOURCE => 'desaiCh4',
   TITLE => qq(Notes and problems for Desai chapter IV.),
   DATE => 'Oct 10, 2010',
   REF => 'desaiCh4',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/desaiCh4.pdf',
   WHAT => qq(Chapter IV Notes and problems for Desai's "Quantum Mechanics and Introductory Field Theory" text.),
}
,{
   SOURCE => 'exponentialSandwichCommutator',
   TITLE => qq(Unitary exponential sandwich),
   DATE => 'Sept 27, 2010',
   REF => 'exponentialSandwichCommutator',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/exponentialSandwichCommutator.pdf',
   WHAT => qq(Unitary transformation using anticommutators.),
}
,{
   SOURCE => 'qmIproblemSet1',
   TITLE => qq(PHY356 Problem Set I.),
   DATE => 'Oct 7, 2010',
   REF => 'qmIproblemSet1',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/qmIproblemSet1.pdf',
   WHAT => qq(A couple problems from my QM1 course.),
}
,{
   SOURCE => 'qmIproblemSet2',
   TITLE => qq(PHY356 Problem Set II.),
   DATE => 'Oct 23, 2010',
   REF => 'qmIproblemSet2',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/qmIproblemSet2.pdf',
   WHAT => qq(A couple more problems from my QM1 course.),
}
,{
   SOURCE => 'desaiCh5',
   TITLE => qq(Notes and problems for Desai Chapter V.),
   DATE => 'Oct 18, 2010',
   REF => 'desaiCh5',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/desaiCh5.pdf',
   WHAT => qq(Problems from Desai Chapter V.),
}
,{
   SOURCE => 'qmIproblemSet3',
   TITLE => qq(PHY356 Problem Set III.),
   DATE => 'Oct 23, 2010',
   REF => 'qmIproblemSet3',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/qmIproblemSet3.pdf',
   WHAT => qq(My submission for problem set III.)
}
,{
   SOURCE => 'PHY356F',
   TITLE => qq(PHY356F lecture notes.),
   DATE => 'Dec 7, 2010',
   REF => 'PHY356F',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/PHY356F.pdf',
   WHAT => qq(PHY356F lecture notes.)
}
,{
   SOURCE => 'desaiCh6',
   TITLE => qq(Notes and problems for Desai Chapter VI.),
   DATE => 'Oct 18, 2010',
   REF => 'desaiCh6',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/desaiCh6.pdf',
   WHAT => qq(Notes and problems for Desai Chapter VI.)
}
,{
   SOURCE => 'desaiCh9',
   TITLE => qq(Desai Chapter 9 notes and problems.),
   DATE => 'Nov 19, 2010',
   REF => 'desaiCh9',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/desaiCh9.pdf',
   WHAT => qq(Desai Chapter 9 notes and problems.)
}
,{
   SOURCE => 'desaiCh10',
   TITLE => qq(Desai Chapter 10 notes and problems.),
   DATE => 'Nov 20, 2010',
   REF => 'desaiCh10',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/desaiCh10.pdf',
   WHAT => qq(Desai Chapter 10 notes and problems.)
}
,{
   SOURCE => 'desaiCh10',
   TITLE => qq(Desai Chapter 10 notes and problems.),
   DATE => 'Nov 20, 2010',
   REF => 'desaiCh10',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/desaiCh10.pdf',
   WHAT => qq(Desai Chapter 10 notes and problems.)
}
,{
   SOURCE => 'qmIproblemSet4',
   TITLE => qq(PHY356 Problem Set 4.),
   DATE => 'Nov 16, 2010',
   REF => 'qmIproblemSet4',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/qmIproblemSet4.pdf',
   WHAT => qq(PHY356 Problem Set 4.)
}
,{
   SOURCE => 'qmIproblemSet5',
   TITLE => qq(PHY356 Problem Set 5.),
   DATE => 'Nov 25, 2010',
   REF => 'qmIproblemSet5',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/qmIproblemSet5.pdf',
   WHAT => qq(PHY356 Problem Set 5.)
}
,{
   SOURCE => 'hyrdogenLaguerre',
   TITLE => qq(Hydrogen like atom, and Laguerre polynomials.),
   DATE => 'Nov 24, 2010',
   REF => 'hyrdogenLaguerre',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/hyrdogenLaguerre.pdf',
   WHAT => qq(Playing with the math of Laguerre polynomials for the Hydrogen like atom.)
}
,{
   SOURCE => 'desaiTypos',
   TITLE => qq(Believed to be typos in Desai's QM Text),
   DATE => 'Oct 31, 2010',
   REF => 'desaiTypos',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/desaiTypos.pdf',
   WHAT => qq(Believed typos, some confirmed, in Desai's QM book.)
}
,{
   SOURCE => 'desaiCh26',
   TITLE => qq(Notes for Desai Chapter 26.),
   DATE => 'Dec 9, 2010',
   REF => 'desaiCh26',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/desaiCh26.pdf',
   WHAT => qq(Notes for Desai Chapter 26.)
}
,{
   SOURCE => 'qmIexamPractice',
   TITLE => qq(Some worked problems from old PHY356 exams.),
   DATE => 'Jan 4, 2011',
   REF => 'qmIexamPractice',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/qmIexamPractice.pdf',
   WHAT => qq(Some worked problems from old PHY356 exams.)
}
,{
   SOURCE => 'qmIexam2010',
   TITLE => qq(A problem on spherical harmonics.),
   DATE => 'Jan 9, 2011',
   REF => 'qmIexam2010',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/qmIexam2010.pdf',
   WHAT => qq()
}
) ; # @phy356

my @classicalmechanics =
(
{
   SOURCE => '1dpotentialIntegral',
   TITLE => qq(Integrating the equation of motion for a one dimensional problem.),
   DATE => 'Jan 1, 2010',
   REF => '1dpotentialIntegral',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/1dpotentialIntegral.pdf',
   WHAT => qq(Solve for time for an arbitrary one dimensional potential.),
},
{
   SOURCE => 'goldsteinRouth',
   TITLE => qq(Notes on Goldstein's Routh's procedure.),
   DATE => 'Mar 3, 2010',
   REF => 'goldsteinRouth',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/goldsteinRouth.pdf',
   WHAT => qq(Puzzle through Routh's procedure as outlined in Goldstein.),
},
{
   SOURCE => 'hoopSpring',
   TITLE => qq(Hoop and spring oscillator problem.),
   DATE => 'June 19, 2010',
   REF => 'hoopSpring',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/hoopSpring.pdf',
   WHAT => qq(A linear approximation to a hoop and spring problem.),
},
{
   SOURCE => '1dharmonicOsc',
   TITLE => qq(1D forced harmonic oscillator.  Quick solution of non-homogeneous problem.),
   DATE => 'Feb 19, 2010',
   REF => '1dharmonicOsc',
   URL => 'http://sites.google.com/site/peeterjoot/math2010/1dharmonicOsc.pdf',
   WHAT => qq(Solve the one dimensional harmonic oscillator problem using matrix methods.),
},
{
   SOURCE => 'multiPendulumSphericalMatrix',
   TITLE => qq(Lagrangian and Euler-Lagrange equation evaluation for the spherical N-pendulum problem),
   DATE => 'Nov 26, 2009',
   REF => 'multiPendulumSphericalMatrix',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/multiPendulumSphericalMatrix.pdf',
   WHAT => '',
},
{
   SOURCE => 'hamiltonian',
   TITLE => qq(Hamiltonian notes.),
   DATE => 'Sept 26, 2009',
   REF => 'hamiltonian',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/hamiltonian.pdf',
   WHAT => '',
},
{
   SOURCE => 'waveLagrangian',
   DATE => 'December 02, 2008',
   REF => 'waveLagrangian',
   TITLE => "Compare some wave equation's and their Lagrangians",
   URL => 'http://sites.google.com/site/peeterjoot/math/wave_lagrangian.pdf',
   WHAT => 'A summary of some wave equation Lagrangians, including wave equations of quantum mechanics.',
},
{
   SOURCE => 'lorentzMetricTensor',
   DATE => 'August 30, 2008',
   REF => 'lorentzMetricTensor',
   TITLE => 'Short metric tensor explanation',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/lorentz_metric_tensor.pdf',
   WHAT => 'Metric tensor and Lorentz diagonality.',
},
{
   SOURCE => 'goldsteinCh12',
   DATE => 'Sept 2, 2008',
   REF => 'goldsteinCh12',
   TITLE => 'Attempts at solutions for some Goldstein Mechanics problems',
   BIBREF => 'PJgoldch1',
   URL => 'http://sites.google.com/site/peeterjoot/mechanics/goldstein_ch1_2.pdf',
   WHAT => qq(Solutions to selected Goldstein Mechanics problems from chapter I and II.

Some of the Goldstein problems in chapter I were also in the Tong problem set. This is some remaining ones and a start at chapter II problems.

Problem 8 from Chapter I was never really completed in my first pass.  It looks like I missed the Kinetic term in the Lagrangian too.  The question of if angular momentum is conserved in that problem is considered in more detail, and a Noether's derivation that is specific to the calculation of the conserved ``current'' for a rotational symmetry is performed.  I'd be curious what attack on that question Goldstein was originally thinking of.  Although I believe this Noether's current treatment answers the question in full detail, since it wasn't covered yet in the text, is there an easier way to get at the result?
),
},
{
   SOURCE => 'classicalMechanicsPs1',
   TITLE => qq(PHY354 Advanced Classical Mechanics.  Problem set 1.),
   DATE => 'Jan 24, 2012',
   REF => 'classicalMechanicsPs1',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/classicalMechanicsPs1.pdf',
   WHAT => qq()
},
{
   SOURCE => 'RungeLenz',
   TITLE => qq(Runge-Lenz vector conservation),
   DATE => 'Feb 11, 2012',
   REF => 'RungeLenz',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/RungeLenz.pdf',
   WHAT => qq(phy354 lecture notes on the Runge-Lenz vector and its use in the Kepler problem.)
},
{
   SOURCE => 'infiniteSheetPotentials',
   TITLE => qq(Attempts at calculating potential distribution for infinite homogeneous plane.),
   DATE => 'Feb 19, 2012',
   REF => 'infiniteSheetPotentials',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/infiniteSheetPotentials.pdf',
   WHAT => qq()
},
{
   SOURCE => 'InfinitePlanePotentialTakeIII',
   TITLE => qq(Potential for an infinitesimal width infinite plane.  Take III),
   DATE => 'Feb 24, 2012',
   REF => 'InfinitePlanePotentialTakeIII',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/InfinitePlanePotentialTakeIII.pdf',
   WHAT => qq()
},
{
   SOURCE => 'cylinderPotential',
   TITLE => qq(Potential due to cylindrical distribution.),
   DATE => 'Feb 27, 2012',
   REF => 'cylinderPotential',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/cylinderPotential.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'phaseSpaceAndTrajectories',
   TITLE => qq(Phase Space and Trajectories.),
   DATE => 'Feb 29, 2012',
   REF => 'phaseSpaceAndTrajectories',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phaseSpaceAndTrajectories.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'rigidBodyMotion',
   TITLE => qq(Rigid body motion.),
   DATE => 'Mar 7, 2012',
   REF => 'rigidBodyMotion',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/rigidBodyMotion.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'classicalMechanicsEulerAngles',
   TITLE => qq(Classical Mechanics Euler Angles),
   DATE => 'Mar 21, 2012',
   REF => 'classicalMechanicsEulerAngles',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/classicalMechanicsEulerAngles.pdf',
   WHAT => qq()
}
,
{
   SOURCE => 'noethersField',
   DATE => 'October 29, 2008',
   TITLE => qq(Field form of Noether's Law),
   REF => 'PJNoethersField',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/noethers_field.pdf',
   WHAT => '',
},
{
   SOURCE => 'noethersLorentzForce',
   DATE => 'October 22, 2008',
   TITLE => qq(Lorentz transform Noether current for interaction Lagrangian),
   REF => 'PJLorentzTxInteraction',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/noethers_lorentz_force.pdf',
   WHAT => '',
},
{
   SOURCE => 'boostMaxwellLagrangian',
   DATE => 'October 19, 2008',
   TITLE => qq(Lorentz Invariance of Maxwell Lagrangian),
   REF => 'PJBoostMaxwell',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/boost_maxwell_lagrangian.pdf',
   WHAT => '',
},
{
   SOURCE => 'canonicalMomentum',
   DATE => 'September 1, 2008',
   TITLE => qq(Vector canonical momentum),
   REF => 'PJCanMomentum',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/canonical_momentum.pdf',
   WHAT => '',
},
{
   SOURCE => 'eulerLagrange',
   DATE => 'October 13, 2008',
   TITLE => qq(Euler Lagrange Equations),
   REF => 'PJEulerLagrange',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/euler_lagrange.pdf',
   WHAT => '',
},
{
   SOURCE => 'fieldLagrangian',
   DATE => 'October 10, 2008',
   TITLE => qq(Derivation of Euler-Lagrange field equations),
   REF => 'PJFieldLagrangian',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/field_lagrangian.pdf',
   WHAT => "Derivation of the field form of the Euler Lagrange equations, with applications including Schrodinger's and Klein-Gordan field equations",
},
{
   SOURCE => 'lagrangianFieldDensity',
   DATE => 'September 8, 2008',
   TITLE => qq(Direct variation of Maxwell equations),
   REF => 'PJMaxwellLagrangian',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/lagrangian_field_density.pdf',
   WHAT => '',
},
{
   SOURCE => 'lorentzForce',
   DATE => 'October 8, 2008',
   TITLE => qq(Revisit Lorentz force from Lagrangian),
   REF => 'PJSrLorentzForce',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/lorentz_force.pdf',
   WHAT => '',
},
{
   SOURCE => 'srLagrangian',
   DATE => 'August 21, 2008',
   TITLE => qq(Covariant Lagrangian, and electrodynamic potential),
   REF => 'PJSrLagrangian',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/sr_lagrangian.pdf',
   WHAT => '',
},
{
   SOURCE => 'lorentzForcePQA',
   DATE => 'April 15, 2009',
   TITLE => qq(Lorentz force Lagrangian with conjugate momentum),
   REF => 'lorentzForcePQA',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/lorentz_force_p_qA.pdf',
   WHAT => qq(The Lagrangian can be expressed in a QM like form in terms of a sum of mechanical and electromagnetic momentum, mv + qA/c.  The end result is the same and it works out to just be a factorization of the original Lorentz force covariant Lagrangian. ),
},
{
   SOURCE => 'maxwellTensorFromLagrangian',
   DATE => 'April 20, 2009',
   TITLE => qq(Tensor derivation of non-dual Maxwell equation from Lagrangian),
   REF => 'maxwellTensorFromLagrangian',
   WHAT => qq(A tensor only derivation. ),
   URL => 'http://sites.google.com/site/peeterjoot/math2009/maxwell_tensor_from_lagrangian.pdf',
},
{
   SOURCE => 'maxwellTensorLagrangian',
   DATE => 'October 12, 2008',
   TITLE => qq(Tensor Derivation of Covariant Lorentz Force from Lagrangian),
   REF => 'maxwellTensorLagrangian',
   WHAT => '',
},
{
   REF => 'newtonianLagrangianAndGradient',
   TITLE => qq(Newton's Law from Lagrangian),
   SOURCE => 'newtonianLagrangianAndGradient',
   DATE => 'August 9, 2008',
   BIBREF => 'PJGradientRecip',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/newtonian_lagrangian_and_gradient.pdf',
   WHAT => '',
},
{
   REF => 'PJTongMf1',
   TITLE => qq(Solutions to David Tong's mf1 Lagrangian problems),
   SOURCE => 'tongMf1',
   DATE => 'August 25, 2008',
   URL => 'http://sites.google.com/site/peeterjoot/geometric-algebra/tong_mf1.pdf',
   WHAT => '',
},
{
   SOURCE => 'stressEnergyNoethers',
   TITLE => qq(Canonical energy momentum tensor and Lagrangian translation),
   DATE => 'June 5, 2009',
   REF => 'stressEnergyNoethers',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/stress_energy_noethers.pdf',
   WHAT => 'Examine symmetries under translation and spacetime translation and relate to energy and momentum conservation where possible.',
#
# MISPLACED COMMENT?  #
#   Derivation of field Noether current equations, with applications including calculation of phase invariance conservation currents for Schrodinger and Klein-Gordon equations.
},
{
   SOURCE => 'lForceLag2',
   TITLE => qq(Comparison of two covariant Lorentz force Lagrangians),
   DATE => 'June 17, 2009',
   REF => 'lForceLag2',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/lForceLag2.pdf',
   WHAT => 'The Lorentz force Lagrangian for a single particle can be expressed in a quadratic fashion much like the classical Kinetic energy based Lagrangian.  Compare to the proper time, non quadratic action.',
},
{
   SOURCE => 'rotationCurrents',
   TITLE => qq(Translation and rotation Noether field currents.),
   DATE => 'Sept 4, 2009',
   REF => 'rotationCurrents',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/rotationCurrents.pdf',
   WHAT => 'Review Lagrangian field concepts.  Derive the field versions of the Euler-Lagrange equations.  Calculate the conserved current and conservation law, a divergence, for a Lagrangian with a single parameter symmetry (such as rotation or boost by a scalar angle or rapidity).  Next, spacetime symmetries are considered, starting with the question of the symmetry existence, then a calculation of the canonical energy momentum tensor and its associated divergence relation.  Next an attempt to use a similar procedure to calculate a conserved current for an incremental spacetime translation.  A divergence relation is found, but it is not a conservation relationship having a nonzero difference of energy momentum tensors.'
},
{
   SOURCE => 'jackson12Dash9',
   TITLE => qq(Lorentz force from Lagrangian (non-covariant)),
   DATE => 'Sept 22, 2009',
   REF => 'jackson12Dash9',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/jackson12Dash9.pdf',
   WHAT => 'Show that the non-covariant Lagrangian from Jackson does produce the Lorentz force law (an exercise for the reader).'
},
{
   SOURCE => 'sPolarMultiPendulum',
   TITLE => qq(Spherical polar pendulum for one and multiple masses, and multivector Euler-Lagrange formulation.),
   DATE => 'Oct 27, 2009',
   REF => 'sPolarMultiPendulum',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/sPolarMultiPendulum.pdf',
   WHAT => 'Derive the multivector Euler-Lagrange relationships.  These were given in Doran/Lasenby but I did not understand it there.  Apply these to the multiple spherical pendulum with the Lagrangian expressed in terms of a bivector angle containing all the phi dependence a scalar polar angle.'
},
{
   SOURCE => 'multiPendulumSpherical2',
   TITLE => qq(Spherical polar pendulum for one and multiple masses (Take II)),
   DATE => 'Nov 4, 2009',
   REF => 'multiPendulumSpherical2',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/multiPendulumSpherical2.pdf',
   WHAT => 'The constraints required to derive the equations of motion from a bivector parameterized Lagrangian for the multiple spherical pendulum make the problem considerably more complicated than would be the case with a plain scalar parameterization.  Take the previous multiple spherical pendulum and rework it with only scalar spherical polar angles.  I later rework this once more removing all the geometric algebra, which simplifies it further.'
},
,{
   SOURCE => 'landauMechanicsCh1P3',
   TITLE => qq(Some notes on a Landau mechanics problem),
   DATE => 'Jul 14, 2012',
   REF => 'landauMechanicsCh1P3',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/landauMechanicsCh1P3.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'dipoleMomentConstantElectricField',
   TITLE => qq(Dipole Moment induced by a constant electric field),
   DATE => 'December 27, 2012',
   REF => 'dipoleMomentConstantElectricField',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/dipoleMomentConstantElectricField.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'classicalMechanicsPs2',
   TITLE => qq(Problem set 2 (2012)),
   DATE => 'January 05, 2013',
   REF => 'classicalMechanicsPs2',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/classicalmechanics.pdf',
   WHAT => qq(incomplete attempt at the problem set 2 questions.)
}
,{
   SOURCE => 'parallelAxisTheorem',
   TITLE => qq(Parallel axis theorem),
   DATE => 'January 06, 2013',
   REF => 'parallelAxisTheorem',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/classicalmechanics.pdf',
   WHAT => qq(class notes from course audit)
}
# incomplete: rest on paper.  may never latex (missing prereqs to understand)
#,{
#   SOURCE => 'motionOfFreeTop',
#   TITLE => qq(PHY354H1S Advanced Classical Mechanics.  Motion of a symmetric free top.  Taught by Prof.\ Erich Poppitz),
#   DATE => 'January 09, 2013',
#   REF => 'motionOfFreeTop',
##   URL => 'http://sites.google.com/site/peeterjoot2/math2013/motionOfFreeTop.pdf',
#   WHAT => qq(class notes on Motion of a symmetric free top)
#}
) ; # @classicalmechanics

my @phy456 =
(
{
   SOURCE => 'qmTwoL1',
   TITLE => qq(Review: Composite systems),
   DATE => 'Sept 12, 2011',
   REF => 'qmTwoL1',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/qmTwoL1.pdf',
   WHAT => qq()
}

,{
   SOURCE => 'qmTwoL2',
   TITLE => qq(Approximate methods.),
   DATE => 'Sept 12, 2011',
   REF => 'qmTwoL2',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/qmTwoL2.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'phy456ps1',
   TITLE => qq(My solutions to problem set 1 (ungraded).),
   DATE => 'Sept 12, 2011',
   REF => 'phy456ps1',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/phy456ps1.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoL3',
   TITLE => qq(Perturbation methods),
   DATE => 'Sept 19, 2011',
   REF => 'qmTwoL3',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/qmTwoL3.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoL4',
   TITLE => qq(Time independent perturbation theory (continued)),
   DATE => 'Sept 21, 2011',
   REF => 'qmTwoL4',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/qmTwoL4.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoL5',
   TITLE => qq(Perturbation theory and degeneracy.  Review of dynamics.),
   DATE => 'Sept 23, 2011',
   REF => 'qmTwoL5',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/qmTwoL5.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoL6',
   TITLE => qq(Interaction picture.),
   DATE => 'Sept 26, 2011',
   REF => 'qmTwoL6',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/qmTwoL6.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'variationalHelium',
   TITLE => qq(Helium atom ground state energy estimation notes.),
   DATE => 'Sept 29, 2011',
   REF => 'variationalHelium',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/variationalHelium.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'variationHarmonicOscillator',
   TITLE => qq(Curious problem using the variational method to find the ground state energy of the Harmonic oscillator.),
   DATE => 'Sept 1, 2011',
   REF => 'variationHarmonicOscillator',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/variationHarmonicOscillator.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoL7',
   TITLE => qq(Time dependent perturbation),
   DATE => 'Sept 25, 2011',
   REF => 'qmTwoL7',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/qmTwoL7.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'entangledSimpleExample',
   TITLE => qq(Simple entanglement example.),
   DATE => 'Oct 9, 2011',
   REF => 'entangledSimpleExample',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/entangledSimpleExample.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoL8',
   TITLE => qq(Time dependent perturbation (cont.)),
   DATE => 'Oct 3, 2011',
   REF => 'qmTwoL8',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/qmTwoL8.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoL9',
   TITLE => qq(Adiabatic perturbation theory (cont.)),
   DATE => 'Oct 5, 2011',
   REF => 'qmTwoL9',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/qmTwoL9.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoPs4',
   TITLE => qq(phy456 Problem set 4, problem 2 notes.),
   DATE => 'Oct 12, 2011',
   REF => 'qmTwoPs4',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/qmTwoPs4.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoL10',
   TITLE => qq(Fermi's golden rule (cont.)),
   DATE => 'Oct 10, 2011',
   REF => 'qmTwoL10',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/qmTwoL10.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoL11',
   TITLE => qq(Spin and Spinors),
   DATE => 'Oct 17, 2011',
   REF => 'qmTwoL11',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/qmTwoL11.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoL12',
   TITLE => qq(WKB Method),
   DATE => 'Oct 19, 2011',
   REF => 'qmTwoL12',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/qmTwoL12.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoL13',
   TITLE => qq(Spin and spinors (cont.)),
   DATE => 'Oct 24, 2011',
   REF => 'qmTwoL13',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/qmTwoL13.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoL14',
   TITLE => qq(Representation of two state kets and Pauli spin matrices.),
   DATE => 'Oct 26, 2011',
   REF => 'qmTwoL14',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/qmTwoL14.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'adiabaticPertTakeII',
   TITLE => qq(A different derivation of the adiabatic perturbation coefficient equation),
   DATE => 'Oct 27, 2011',
   REF => 'adiabaticPertTakeII',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/adiabaticPertTakeII.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoR3',
   TITLE => qq(WKB method and Stark shift.),
   DATE => 'Oct 28, 2011',
   REF => 'qmTwoR3',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/qmTwoR3.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoL15',
   TITLE => qq(Rotation operator in spin space),
   DATE => 'Oct 31, 2011',
   REF => 'qmTwoL15',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/qmTwoL15.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoL16',
   TITLE => qq(Hydrogen atom with spin, and two spin systems.),
   DATE => 'Nov 2, 2011',
   REF => 'qmTwoL16',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/qmTwoL16.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoL16TwoSpin',
   TITLE => qq(Two spin systems, angular momentum, and Clebsch-Gordon convention),
   DATE => 'Nov 2, 2011',
   REF => 'qmTwoL16TwoSpin',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/qmTwoL16.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'adiabaticApprox',
   TITLE => qq(Second order time evolution for the coefficients of an initially pure ket with an adiabatically changing Hamiltonian.),
   DATE => 'Nov 11, 2011',
   REF => 'adiabaticApprox',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/adiabaticApprox.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoL17',
   TITLE => qq(Two spin systems and angular momentum.),
   DATE => 'Nov 9, 2011',
   REF => 'qmTwoL17',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/qmTwoL17.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'pertubationDegeneracy',
   TITLE => qq(Degeneracy and diagonalization),
   DATE => 'Nov 7, 2011',
   REF => 'pertubationDegeneracy',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/pertubationDegeneracy.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoReview',
   TITLE => qq(Review of approximation results.),
   DATE => 'Nov 6, 2011',
   REF => 'qmTwoReview',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/qmTwoReview.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoL18',
   TITLE => qq(The Clebsch-Gordon convention for the basis elements of summed generalized angular momentum),
   DATE => 'Nov 12, 2011',
   REF => 'qmTwoL18',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/qmTwoL18.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoL19',
   TITLE => qq(Rotations of operators.),
   DATE => 'Nov 16, 2011',
   REF => 'qmTwoL19',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/qmTwoL19.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoL20',
   TITLE => qq(Spherical tensors.),
   DATE => 'Nov 21, 2011',
   REF => 'qmTwoL20',
   URL => 'http://sites.google.com/site/peeterjoot2/math2011/qmTwoL20.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'ClebshGordan',
   TITLE => qq(On conditions for Clebsh-Gordan coefficients to be zero.),
   DATE => 'Nov 23, 2011',
   REF => 'ClebshGordan',
   URL => 'http://sites.google.com/site/peeterjoot2/math2011/ClebshGordan.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoL21',
   TITLE => qq(Scattering theory.),
   DATE => 'Nov 23, 2011',
   REF => 'qmTwoL21',
   URL => 'http://sites.google.com/site/peeterjoot2/math2011/qmTwoL21.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoL22',
   TITLE => qq(Scattering (cont.)),
   DATE => 'Nov 28, 2011',
   REF => 'qmTwoL22',
   URL => 'http://sites.google.com/site/peeterjoot2/math2011/qmTwoL22.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoL23',
   TITLE => qq(3D Scattering.),
   DATE => 'Nov 30, 2011',
   REF => 'qmTwoL23',
   URL => 'http://sites.google.com/site/peeterjoot2/math2011/qmTwoL23.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoL24',
   TITLE => qq(3D Scattering cross sections (cont.)),
   DATE => 'Dec 5, 2011',
   REF => 'qmTwoL24',
   URL => 'http://sites.google.com/site/peeterjoot2/math2011/qmTwoL24.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'qmTwoL25',
   TITLE => qq(Born approximation.),
   DATE => 'Dec 7, 2011',
   REF => 'qmTwoL25',
   URL => 'http://sites.google.com/site/peeterjoot2/math2011/qmTwoL25.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'oneMoreAdiabatic',
   TITLE => qq(One more adiabatic perturbation derivation.),
   DATE => 'Dec 8, 2011',
   REF => 'oneMoreAdiabatic',
   URL => 'http://sites.google.com/site/peeterjoot2/math2011/oneMoreAdiabatic.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'shortTimeDepPertubation',
   TITLE => qq(A short derivation of the time dependent perturbation result.),
   DATE => 'Dec 8, 2011',
   REF => 'shortTimeDepPertubation',
   URL => 'http://sites.google.com/site/peeterjoot2/math2011/shortTimeDepPertubation.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'helmoltzGreens',
   TITLE => qq(Verifying the Helmholtz Green's function.),
   DATE => 'Dec 12, 2011',
   REF => 'helmoltzGreens',
   URL => 'http://sites.google.com/site/peeterjoot2/math2011/helmoltzGreens.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'sincIntegral',
   TITLE => qq(Evaluating the squared sinc integral.),
   DATE => 'Dec 10, 2011',
   REF => 'sincIntegral',
   URL => 'http://sites.google.com/site/peeterjoot2/math2011/sincIntegral.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'adiabaticApproximation',
   TITLE => qq(Second form of adiabatic approximation.),
   DATE => 'Dec 11, 2011',
   REF => 'adiabaticApproximation',
   URL => 'http://sites.google.com/site/peeterjoot2/math2011/adiabaticApproximation.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'hermiteDerivativeRecurranceRelation',
   TITLE => qq(Derivative recurrence relation for Hermite polynomials.),
   DATE => 'Jan 3, 2012',
   REF => 'hermiteDerivativeRecurranceRelation',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/hermiteDerivativeRecurranceRelation.pdf',
   WHAT => qq()
}
) ; # @phy456

my @phy485 =
(
{
   SOURCE => 'poyntingComplex',
   TITLE => qq(Some worked problems from ``Modern Optics'', the vectoral nature of light),
   DATE => 'Sept 12, 2012',
   REF => 'poyntingComplex',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/poyntingComplex.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'fresnelAlternatePolarization',
   TITLE => qq(Derivation of Fresnel equations for mixed polarization),
   DATE => 'Sept 25, 2012',
   REF => 'fresnelAlternatePolarization',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/fresnelAlternatePolarization.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsLecture1',
   TITLE => qq(Matrix methods in Geometric Optics),
   DATE => 'September 26, 2012',
   REF => 'modernOpticsLecture1',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsLecture2',
   TITLE => qq(Geometric optics: Rays),
   DATE => 'September 26, 2012',
   REF => 'modernOpticsLecture2',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsLecture3',
   TITLE => qq(GRIN (Graded Refractive INdex)),
   DATE => 'September 26, 2012',
   REF => 'modernOpticsLecture3',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsLecture4',
   TITLE => qq(Diffraction),
   DATE => 'September 26, 2012',
   REF => 'modernOpticsLecture4',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsLecture5',
   TITLE => qq(Diffraction (cont.)),
   DATE => 'September 27, 2012',
   REF => 'modernOpticsLecture5',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsLecture6',
   TITLE => qq(Fresnel diffraction),
   DATE => 'October 02, 2012',
   REF => 'modernOpticsLecture6',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsProblemSet1',
   TITLE => qq(Problem set 1.  Geometric Optics),
   DATE => 'October 04, 2012',
   REF => 'modernOpticsProblemSet1',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsProblemSet1Attempt1',
   TITLE => qq(From first attempt at problem set 1.  Thin lens geometric optics),
   DATE => 'October 04, 2012',
   REF => 'modernOpticsProblemSet1Attempt1',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsLecture7',
   TITLE => qq(Coherence),
   DATE => 'October 04, 2012',
   REF => 'modernOpticsLecture7',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'snellsFermat',
   TITLE => qq(Derivation of Snell's law using Fermat's theorem),
   DATE => 'October 06, 2012',
   REF => 'snellsFermat',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'convexNonParaxial',
   TITLE => qq(convex lens geometry and the paraxial approximation),
   DATE => 'October 08, 2012',
   REF => 'convexNonParaxial',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'concaveReflection',
   TITLE => qq(Concave reflection and paraxial approximation),
   DATE => 'October 09, 2012',
   REF => 'concaveReflection',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsLecture8',
   TITLE => qq(Coherence (cont.)),
   DATE => 'October 11, 2012',
   REF => 'modernOpticsLecture8',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsLecture9',
   TITLE => qq(Mathematical treatment of coherence),
   DATE => 'October 11, 2012',
   REF => 'modernOpticsLecture9',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsLecture10',
   TITLE => qq(Spatial Coherence),
   DATE => 'October 17, 2012',
   REF => 'modernOpticsLecture10',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsLecture11',
   TITLE => qq(Spatial Coherence),
   DATE => 'October 19, 2012',
   REF => 'modernOpticsLecture11',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsProblemSet2',
   TITLE => qq(Problem Set 2, Diffraction and Coherence),
   DATE => 'October 23, 2012',
   REF => 'modernOpticsProblemSet2',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsLecture12',
   TITLE => qq(Multiple interference),
   DATE => 'October 24, 2012',
   REF => 'modernOpticsLecture12',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsFormulaSheet',
   TITLE => qq(Possible content for formula sheet),
   DATE => 'October 29, 2012',
   REF => 'modernOpticsFormulaSheet',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsLecture13',
   TITLE => qq(Fabry-Perot interferometry),
   DATE => 'October 31, 2012',
   REF => 'modernOpticsLecture13',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsLecture14',
   TITLE => qq(Cavity as an oscillator),
   DATE => 'November 02, 2012',
   REF => 'modernOpticsLecture14',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'convolution',
   TITLE => qq(Proof of Fourier transform convolution theorem),
   DATE => 'November 07, 2012',
   REF => 'convolution',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsLecture15',
   TITLE => qq(Multiple interference (cont.)),
   DATE => 'November 07, 2012',
   REF => 'modernOpticsLecture15',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsLecture16',
   TITLE => qq(Lasers),
   DATE => 'November 08, 2012',
   REF => 'modernOpticsLecture16',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'cosineTransforms',
   TITLE => qq(Cosine Transforms),
   DATE => 'November 10, 2012',
   REF => 'cosineTransforms',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsProblemSet3',
   TITLE => qq(Problem Set 3.  Multiple Interference),
   DATE => 'November 15, 2012',
   REF => 'modernOpticsProblemSet3',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsLecture17',
   TITLE => qq(Laser pump rates),
   DATE => 'November 15, 2012',
   REF => 'modernOpticsLecture17',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsLecture18',
   TITLE => qq(Gaussian modes),
   DATE => 'November 21, 2012',
   REF => 'modernOpticsLecture18',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'planckBlackbody',
   TITLE => qq(Planck blackbody summation),
   DATE => 'November 21, 2012',
   REF => 'planckBlackbody',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/planckBlackbody.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'crossCrossA',
   TITLE => qq(vector identities),
   DATE => 'November 23, 2012',
   REF => 'crossCrossA',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsLecture19',
   TITLE => qq(Solving the homogeneous paraxial wave equation),
   DATE => 'November 27, 2012',
   REF => 'modernOpticsLecture19',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'paraxialWaveApproximateSolution',
   TITLE => qq(Fresnel form approximate solution to paraxial wave equation),
   DATE => 'December 01, 2012',
   REF => 'paraxialWaveApproximateSolution',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsLecture20',
   TITLE => qq(Guoy phase shifts and higher order Gaussian modes),
   DATE => 'December 02, 2012',
   REF => 'modernOpticsLecture20',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsProblemSet4',
   TITLE => qq(Problem set.  Gaussian Beams),
   DATE => 'December 06, 2012',
   REF => 'modernOpticsProblemSet4',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsLecture21',
   TITLE => qq(Spectral line width (coherence time) of laser),
   DATE => 'December 06, 2012',
   REF => 'modernOpticsLecture21',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsLecture22',
   TITLE => qq(Number of photons per free space mode),
   DATE => 'December 06, 2012',
   REF => 'modernOpticsLecture22',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'modernOpticsMidtermReflection',
   TITLE => qq(Midterm review.  Lloyd's mirror),
   DATE => 'December 07, 2012',
   REF => 'modernOpticsMidtermReflection',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'optics2010ExamFraunhofer',
   TITLE => qq(Fraunhofer diffraction pattern for four circular aperatures),
   DATE => 'December 15, 2012',
   REF => 'optics2010ExamFraunhofer',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'optics2010ExamGaussian',
   TITLE => qq(2010 q5 Gaussian beam problem.),
   DATE => 'December 17, 2012',
   REF => 'optics2010ExamGaussian',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/phy485.pdf',
   WHAT => qq()
}
) ; # @phy485

my @phy452 =
(
{
   SOURCE => 'conditionalProbStatMech',
   TITLE => qq(Pondering a question on conditional probability.),
   DATE => 'Dec 27, 2011',
   REF => 'conditionalProbStatMech',
   URL => 'http://sites.google.com/site/peeterjoot2/math2011/conditionalProbStatMech.pdf',
   WHAT => qq(Pondering a question on conditional probability.),
},
{
   SOURCE => 'stirlingLike',
   TITLE => qq(Stirling like approximation),
   DATE => 'December 24, 2012',
   REF => 'stirlingLike',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/stirlingLike.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'kittelCh2',
   TITLE => qq(Some problems from Kittel Thermal Physics, chapter II),
   DATE => 'January 10, 2013',
   REF => 'kittelCh2',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/kittelCh2.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'basicStatMechLecture1',
   TITLE => qq(What is statististical mechanics and equilibrium),
   DATE => 'January 10, 2013',
   REF => 'basicStatMechLecture1',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/basicStatMechLecture1.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'basicStatMechLecture2',
   TITLE => qq(Probability),
   DATE => 'January 11, 2013',
   REF => 'basicStatMechLecture2',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/basicStatMechLecture2.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'basicStatMechLecture3',
   TITLE => qq(Random walk),
   DATE => 'January 16, 2013',
   REF => 'basicStatMechLecture3',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/basicStatMechLecture3.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'basicStatMechLecture4',
   TITLE => qq(Maxwell distribution for gases),
   DATE => 'January 17, 2013',
   REF => 'basicStatMechLecture4',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/basicStatMechLecture4.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'basicStatMechProblemSet1',
   TITLE => qq(Problem Set 1: Binomial distributions),
   DATE => 'January 13, 2013',
   REF => 'basicStatMechProblemSet1',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/basicStatMechProblemSet1.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'basicStatMechProblemSet2',
   TITLE => qq(Generating functions and diffusion),
   DATE => 'January 20, 2013',
   REF => 'basicStatMechProblemSet2',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/basicStatMechProblemSet2.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'basicStatMechLecture5',
   TITLE => qq(Motion in phase space.  Liouville and Poincar\'e theorems.),
   DATE => 'January 23, 2013',
   REF => 'basicStatMechLecture5',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/basicStatMechLecture5.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'hyperSphereVolume',
   TITLE => qq(hypersphere volume calculation the easy way),
   DATE => 'January 27, 2013',
   REF => 'hyperSphereVolume',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/hyperSphereVolume.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'basicStatMechLecture6',
   TITLE => qq(Volumes in phase space),
   DATE => 'January 29, 2013',
   REF => 'basicStatMechLecture6',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/basicStatMechLecture6.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'poissonStirling',
   TITLE => qq(Poisson distribution from binomial using Stirling's approximation),
   DATE => 'January 29, 2013',
   REF => 'poissonStirling',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/poissonStirling.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'basicStatMechProblemSet3',
   TITLE => qq(State counting),
   DATE => 'January 30, 2013',
   REF => 'basicStatMechProblemSet3',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/basicStatMechProblemSet3.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'liouvilleOneDim',
   TITLE => qq(Liouville's theorem questions on density and current),
   DATE => 'January 31, 2013',
   REF => 'liouvilleOneDim',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/liouvilleOneDim.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'centralLimitOnProducts',
   TITLE => qq(Application of the central limit theorem to a product of random vars),
   DATE => 'February 02, 2013',
   REF => 'centralLimitOnProducts',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/centralLimitOnProducts.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'hamiltonianSHOphaseSpace',
   TITLE => qq(1D SHO phase space),
   DATE => 'February 02, 2013',
   REF => 'hamiltonianSHOphaseSpace',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/hamiltonianSHOphaseSpace.pdf',
   WHAT => qq()
}
,{
   SOURCE => '1dRandomWalk',
   TITLE => qq(One dimensional random walk),
   DATE => 'February 03, 2013',
   REF => '1dRandomWalk',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/1dRandomWalk.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'basicStatMechLecture7',
   TITLE => qq(Ideal gas and SHO phase space volume calculations),
   DATE => 'February 05, 2013',
   REF => 'basicStatMechLecture7',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/basicStatMechLecture7.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'unfairCoinLimitHardWay',
   TITLE => qq(Limit of unfair coin distribution, the hard way),
   DATE => 'February 06, 2013',
   REF => 'unfairCoinLimitHardWay',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/unfairCoinLimitHardWay.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'basicStatMechLecture8',
   TITLE => qq(Midterm review, thermodynamics),
   DATE => 'February 07, 2013',
   REF => 'basicStatMechLecture8',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/basicStatMechLecture8.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'kittelChapter3',
   TITLE => qq(Some problems from Kittel chapter 3),
   DATE => 'February 10, 2013',
   REF => 'kittelChapter3',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/kittelChapter3.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'phaseSpaceChangeOfVars',
   TITLE => qq(Change of variables in 2d phase space),
   DATE => 'February 10, 2013',
   REF => 'phaseSpaceChangeOfVars',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/phaseSpaceChangeOfVars.pdf',
   WHAT => qq()
}
,{
   SOURCE => '3nParticlePhaseSpaceVolume',
   TITLE => qq(n SHO particle phase space volume),
   DATE => 'February 10, 2013',
   REF => '3nParticlePhaseSpaceVolume',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/3nParticlePhaseSpaceVolume.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'phaseSpaceChangeOfVarsSpherical',
   TITLE => qq(Cartesian to spherical change of variables in 3d phase space),
   DATE => 'February 11, 2013',
   REF => 'phaseSpaceChangeOfVarsSpherical',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/phaseSpaceChangeOfVarsSpherical.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'basicStatMechLecture9',
   TITLE => qq(Lightning review of thermodynamics),
   DATE => 'February 13, 2013',
   REF => 'basicStatMechLecture9',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/basicStatMechLecture9.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'basicStatMechLecture10',
   TITLE => qq(Continuing review of thermodynamics),
   DATE => 'February 14, 2013',
   REF => 'basicStatMechLecture10',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/basicStatMechLecture10.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'pendulumPhaseSpace',
   TITLE => qq(1D pendulum problem in phase space),
   DATE => 'February 15, 2013',
   REF => 'pendulumPhaseSpace',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/pendulumPhaseSpace.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'pathriaCh2P5',
   TITLE => qq(One dimensional well problem from Pathria chapter II),
   DATE => 'February 16, 2013',
   REF => 'pathriaCh2P5',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/pathriaCh2P5.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'basicStatMechProblemSet4',
   TITLE => qq(Ideal gas),
   DATE => 'February 24, 2013',
   REF => 'basicStatMechProblemSet4',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/basicStatMechProblemSet4.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'basicStatMechLecture11',
   TITLE => qq(Statistical and thermodynamic connection),
   DATE => 'February 26, 2013',
   REF => 'basicStatMechLecture11',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/basicStatMechLecture11.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'basicStatMechLecture12',
   TITLE => qq(Helmholtz free energy),
   DATE => 'February 28, 2013',
   REF => 'basicStatMechLecture12',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/basicStatMechLecture12.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'kittelRotationalPartition',
   TITLE => qq(Rotation of diatomic molecules),
   DATE => 'February 28, 2013',
   REF => 'kittelRotationalPartition',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/kittelRotationalPartition.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'basicStatMechLecture13',
   TITLE => qq(Interacting spin),
   DATE => 'March 05, 2013',
   REF => 'basicStatMechLecture13',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/basicStatMechLecture13.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'basicStatMechProblemSet5',
   TITLE => qq(Temperature),
   DATE => 'March 06, 2013',
   REF => 'basicStatMechProblemSet5',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/basicStatMechProblemSet5.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'thermodynamicIdentity',
   TITLE => qq(Thermodynamic identities),
   DATE => 'March 07, 2013',
   REF => 'thermodynamicIdentity',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/thermodynamicIdentity.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'midterm2reflection',
   TITLE => qq(Midterm II reflection),
   DATE => 'March 10, 2013',
   REF => 'midterm2reflection',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/midterm2reflection.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'spinOneHalfAdditionReview',
   TITLE => qq(Addition of two one half spins),
   DATE => 'March 10, 2013',
   REF => 'spinOneHalfAdditionReview',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/spinOneHalfAdditionReview.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'langevinSmallApprox',
   TITLE => qq(Langevin small approximation),
   DATE => 'March 10, 2013',
   REF => 'langevinSmallApprox',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/langevinSmallApprox.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'pathriaHarmonicOscPertubation',
   TITLE => qq(Heat capacity of perturbed harmonic oscillator),
   DATE => 'March 11, 2013',
   REF => 'pathriaHarmonicOscPertubation',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/pathriaHarmonicOscPertubation.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'basicStatMechLecture14',
   TITLE => qq(Grand canonical ensemble),
   DATE => 'March 12, 2013',
   REF => 'basicStatMechLecture14',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/basicStatMechLecture14.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'pathriaCh3pr30',
   TITLE => qq(Quantum anharmonic oscillator),
   DATE => 'March 13, 2013',
   REF => 'pathriaCh3pr30',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/pathriaCh3pr30.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'basicStatMechLecture15',
   TITLE => qq(Grand Canonical/Fermion-Bosons),
   DATE => 'March 14, 2013',
   REF => 'basicStatMechLecture15',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/basicStatMechLecture15.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'entropyProbabilityForm',
   TITLE => qq(probability forms of entropy),
   DATE => 'March 16, 2013',
   REF => 'entropyProbabilityForm',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/entropyProbabilityForm.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'varianceN',
   TITLE => qq(open system variance of N),
   DATE => 'March 16, 2013',
   REF => 'varianceN',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/varianceN.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'kittleCh5Pr6',
   TITLE => qq(\generatetitle{Gibbs sum for a two level system}),
   DATE => 'March 17, 2013',
   REF => 'kittleCh5Pr6',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/kittleCh5Pr6.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'pathriaDiatomic',
   TITLE => qq(\generatetitle{Pathria chapter 4 diatomic molecule problem}),
   DATE => 'March 18, 2013',
   REF => 'pathriaDiatomic',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/pathriaDiatomic.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'kittelCh3Zipper',
   TITLE => qq(Kittel Zipper problem),
   DATE => 'March 21, 2013',
   REF => 'kittelCh3Zipper',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/kittelCh3Zipper.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'relStatMechExploration',
   TITLE => qq(Relativisitic generalization of statistical mechanics),
   DATE => 'March 23, 2013',
   REF => 'relStatMechExploration',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/relStatMechExploration.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'basicStatMechLecture17',
   TITLE => qq(Fermi gas thermodynamics),
   DATE => 'March 26, 2013',
   REF => 'basicStatMechLecture17',
   URL => 'http://sites.google.com/site/peeterjoot2/math2013/basicStatMechLecture17.pdf',
   WHAT => qq()
}
) ; # @phy452

my @phy454 =
(
{
   SOURCE => 'continuumL1',
   TITLE => qq(Overview.),
   DATE => 'Jan 11, 2012',
   REF => 'continuumL1',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumL1.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumL2',
   TITLE => qq(Introduction and strain tensor.),
   DATE => 'Jan 13, 2012',
   REF => 'continuumL2',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumL2.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumL3',
   TITLE => qq(Strain tensor review.  Stress tensor.),
   DATE => 'Jan 18, 2012',
   REF => 'continuumL3',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumL3.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumL4',
   TITLE => qq(Strain tensor components.),
   DATE => 'Jan 20, 2012',
   REF => 'continuumL4',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumL4.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumL5',
   TITLE => qq(Constitutive relationship.),
   DATE => 'Jan 25, 2012',
   REF => 'continuumL5',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumL5.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumL6',
   TITLE => qq(Compatibility condition and elastostatics.),
   DATE => 'Jan 27, 2012',
   REF => 'continuumL6',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumL6.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumL7',
   TITLE => qq(P-waves and S-waves.),
   DATE => 'Feb 1, 2012',
   REF => 'continuumL7',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumL7.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumL8',
   TITLE => qq(Phasor description of elastic waves.  Fluid dynamics.),
   DATE => 'Feb 3, 2012',
   REF => 'continuumL8',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumL8.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumProblemSet1',
   TITLE => qq(Problem Set 1.  Stress, Strain, Traction vector.  Force free equilibrium.),
   DATE => 'Feb 8, 2012',
   REF => 'continuumProblemSet1',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumProblemSet1.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumL9',
   TITLE => qq(Newtonian fluids.  Mass conservation.  Constitutive relation.  Incompressible fluids.),
   DATE => 'Feb 8, 2012',
   REF => 'continuumL9',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumL9.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumL10',
   TITLE => qq(Navier-Stokes equation.),
   DATE => 'Feb 10, 2012',
   REF => 'continuumL10',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumL10.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumL11',
   TITLE => qq(Worked examples of unidirectional Navier-Stokes solutions.),
   DATE => 'Feb 15, 2012',
   REF => 'continuumL11',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumL11.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumL12',
   TITLE => qq(Flow in a pipe.  Gravity driven flow of a film.),
   DATE => 'Feb 17, 2012',
   REF => 'continuumL12',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumL12.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'twoLayerInclinedFlow',
   TITLE => qq(Steady state inclined flow down a plane of two layers of incompressible viscous equal density fluids.),
   DATE => 'Mar 1, 2012',
   REF => 'twoLayerInclinedFlow',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/twoLayerInclinedFlow.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumL13',
   TITLE => qq(Hydrostatics.  Surface normals and tangent vectors.),
   DATE => 'Mar 2, 2012',
   REF => 'continuumL13',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumL13.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'twoLayerInclinedFlowDifferentDensities',
   TITLE => qq(Steady state inclined flow down a plane of two layers of incompressible viscous fluids.),
   DATE => 'Mar 1, 2012',
   REF => 'twoLayerInclinedFlowDifferentDensities',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/twoLayerInclinedFlowDifferentDensities.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumL14',
   TITLE => qq(Non-dimensionality and scaling.),
   DATE => 'Mar 7, 2012',
   REF => 'continuumL14',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumL14.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumL15',
   TITLE => qq(More on surface tension and Reynold's number.),
   DATE => 'Mar 9, 2012',
   REF => 'continuumL15',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumL15.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumL16',
   TITLE => qq(Boundary Layers.  Time dependent flow.),
   DATE => 'Mar 14, 2012',
   REF => 'continuumL16',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumL16.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumProblemSet2',
   TITLE => qq(Problem Set 2.  Rectilinear flow with pressure gradient.  Two layer flow driven by moving surface.),
   DATE => 'Mar 2, 2012',
   REF => 'continuumProblemSet2',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumProblemSet2.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumL17',
   TITLE => qq(Impulsive flow.  Boundary layers.  Oscillatory driven flow.),
   DATE => 'Mar 16, 2012',
   REF => 'continuumL17',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumL17.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumMidtermReflection',
   TITLE => qq(Midterm reflection.),
   DATE => 'Mar 14, 2012',
   REF => 'continuumMidtermReflection',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumMidtermReflection.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'inclinedFlowWithoutConstantHeightAssumption',
   TITLE => qq(Inclined flow without constant height assumption.  Setting up the problem, but not actually solving it.),
   DATE => 'Mar 6, 2012',
   REF => 'inclinedFlowWithoutConstantHeightAssumption',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/inclinedFlowWithoutConstantHeightAssumption.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumL18',
   TITLE => qq(Scaling to setup to solve the boundary layer problem.),
   DATE => 'Mar 21, 2012',
   REF => 'continuumL18',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumL18.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumProblemSet3',
   TITLE => qq(Problem Set 3.  Velocity scaling, non-dimensionalisation, boundary layers.),
   DATE => 'Mar 23, 2012',
   REF => 'continuumProblemSet3',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumProblemSet3.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumL20',
   TITLE => qq(Asymptotic solutions of ill conditioned equations.),
   DATE => 'Mar 28, 2012',
   REF => 'continuumL20',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumL20.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumL21',
   TITLE => qq(Stability.),
   DATE => 'Mar 29, 2012',
   REF => 'continuumL21',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumL21.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'channelFlowWithStepPressureGradient',
   TITLE => qq(Channel flow with step pressure gradient),
   DATE => 'Mar 31, 2012',
   REF => 'channelFlowWithStepPressureGradient',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/channelFlowWithStepPressureGradient.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumL19',
   TITLE => qq(Boundary layers and stream functions.  The Blasius problem.),
   DATE => 'Mar 23, 2012',
   REF => 'continuumL19',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumL19.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumL22',
   TITLE => qq(Thermal stability.),
   DATE => 'Apr 4, 2012',
   REF => 'continuumL22',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumL22.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'stressTensorVectorForm',
   TITLE => qq(Putting the stress tensor (and traction vector) into explicit vector form.),
   DATE => 'Apr 4, 2012',
   REF => 'stressTensorVectorForm',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/stressTensorVectorForm.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'couetteFlow',
   TITLE => qq(Couette flow of a viscous incompressible fluid.),
   DATE => 'Apr 9, 2012',
   REF => 'couetteFlow',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/couetteFlow.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'twoCylinders',
   TITLE => qq(Flow between infinite moving inner cylinder and outer cylinder.),
   DATE => 'Apr 10, 2012',
   REF => 'twoCylinders',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/twoCylinders.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumElasticityReview',
   TITLE => qq(Continuum mechanics elasticity review.),
   DATE => 'Apr 21, 2012',
   REF => 'continuumElasticityReview',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumElasticityReview.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'bottomlessCoffee',
   TITLE => qq(Spin down of coffee in a bottomless cup.),
   DATE => 'Apr 24, 2012',
   REF => 'bottomlessCoffee',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/bottomlessCoffee.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'continuumFluidsReview',
   TITLE => qq(Continuum mechanics fluids review.),
   DATE => 'Apr 21, 2012',
   REF => 'continuumFluidsReview',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/continuumFluidsReview.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'constantSpinSurfaces',
   TITLE => qq(Surface for spinning bucket of water.),
   DATE => 'Apr 29, 2012',
   REF => 'constantSpinSurfaces',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/constantSpinSurfaces.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'coffeeCupWithBottom',
   TITLE => qq(Steady state velocity profile of stirred cup of non-bottomless coffee.),
   DATE => 'Apr 29, 2012',
   REF => 'coffeeCupWithBottom',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/coffeeCupWithBottom.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'fourierSeries',
   TITLE => qq(A Fourier series refresher.),
   DATE => 'Apr 3, 2012',
   REF => 'fourierSeries',
   URL => 'http://sites.google.com/site/peeterjoot2/math2012/fourierSeries.pdf',
   WHAT => qq()
}
) ; # @phy454

my @phy450 =
(
{
   SOURCE => 'relativisticElectrodynamicsL1',
   TITLE => qq(Speed of light and simultaneity.),
   DATE => 'Jan 11, 2011',
   REF => 'relativisticElectrodynamicsL1',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL1.pdf',
   WHAT => qq(Speed of light and simultaneity.),
}
,{
   SOURCE => 'relativisticElectrodynamicsL2',
   TITLE => qq(Spacetime, events, worldlines, proper time, invariance.),
   DATE => 'Jan 12, 2011',
   REF => 'relativisticElectrodynamicsL2',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL2.pdf',
   WHAT => qq(Spacetime, events, worldlines, proper time, invariance.),
}
,{
   SOURCE => 'relativisticElectrodynamicsL3',
   TITLE => qq(Spacetime, events, worldlines, spacetime intervals, and invariance.),
   DATE => 'Jan 13, 2011',
   REF => 'relativisticElectrodynamicsL3',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL3.pdf',
   WHAT => qq(Spacetime, events, worldlines, spacetime intervals, and invariance.),
}
,{
   SOURCE => 'antisymmetricTensorTx',
   TITLE => qq(Lorentz transformation of an antisymmetric tensor.),
   DATE => 'Jan 14, 2011',
   REF => 'antisymmetricTensorTx',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/antisymmetricTensorTx.pdf',
   WHAT => qq(Some tensor and geometric algebra comparisons in a spacetime context.),
}
,{
   SOURCE => 'relativisticElectrodynamicsL4',
   TITLE => qq(Spacetime geometry, Lorentz transformations, Minkowski diagrams.),
   DATE => 'Jan 18, 2011',
   REF => 'relativisticElectrodynamicsL4',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL4.pdf',
   WHAT => qq(Spacetime geometry, Lorentz transformations, Minkowski diagrams.),
}
,{
   SOURCE => 'relativisticElectrodynamicsL5',
   TITLE => qq(Proper time, length contraction, time dilation, causality.),
   DATE => 'Jan 18, 2011',
   REF => 'relativisticElectrodynamicsL5',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL5.pdf',
   WHAT => qq(Proper time, length contraction, time dilation, causality.),
}
,{
   SOURCE => 'relativisticElectrodynamicsT1',
   TITLE => qq(Four vectors and a worked problem on energy flux density.),
   DATE => 'Jan 20, 2011',
   REF => 'relativisticElectrodynamicsT1',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsT1.pdf',
   WHAT => qq(Four vectors and a worked problem on energy flux density.),
}
,{
   SOURCE => 'relativisticElectrodynamicsL6',
   TITLE => qq(Four vectors and tensors.),
   DATE => 'Jan 25, 2011',
   REF => 'relativisticElectrodynamicsL6',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL6.pdf',
   WHAT => qq(Four vectors and tensors.),
}
,{
   SOURCE => 'relativisticElectrodynamicsL7',
   TITLE => qq(Action and relativistic dynamics.),
   DATE => 'Jan 26, 2011',
   REF => 'relativisticElectrodynamicsL7',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL7.pdf',
   WHAT => qq(Action and relativistic dynamics.),
}
,{
   SOURCE => 'relativisticElectrodynamicsT2',
   TITLE => qq(PHY450H1S.  Relativistic Electrodynamics Tutorial 2 (TA: Simon Freedman).  Two worked problems.),
   DATE => 'Jan 27, 2011',
   REF => 'relativisticElectrodynamicsT2',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsT2.pdf',
   WHAT => qq(Two worked problems.),
}
,{
   SOURCE => 'relElectroDynProblemSet1',
   TITLE => qq(PHY450H1S Problem Set 1.),
   DATE => 'Jan 22, 2011',
   REF => 'relElectroDynProblemSet1',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relElectroDynProblemSet1.pdf',
   WHAT => qq(Problem Set 1.),
}
,{
   SOURCE => 'relElectroDynProblemSet3',
   TITLE => qq(PHY450H1S Problem Set 3.),
   DATE => 'Feb 15, 2011',
   REF => 'relElectroDynProblemSet3',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relElectroDynProblemSet3.pdf',
   WHAT => qq(PHY450H1S Problem Set 3.),
}
,{
   SOURCE => 'relativisticElectrodynamicsL8',
   TITLE => qq(Relativistic dynamics.),
   DATE => 'Feb 1, 2011',
   REF => 'relativisticElectrodynamicsL8',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL8.pdf',
   WHAT => qq(Relativistic dynamics.),
}
,{
   SOURCE => 'relativisticElectrodynamicsL9',
   TITLE => qq(Dynamics in a vector field.),
   DATE => 'Feb 1, 2011',
   REF => 'relativisticElectrodynamicsL9',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL9.pdf',
   WHAT => qq(Dynamics in a vector field.),
}
,{
   SOURCE => 'relativisticElectrodynamicsT3',
   TITLE => qq(PHY450H1S.  Relativistic Electrodynamics Tutorial 3 (TA: Simon Freedman).  Relativistic motion in constant uniform electric or magnetic fields.),
   DATE => 'Feb 3, 2011',
   REF => 'relativisticElectrodynamicsT3',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsT3.pdf',
   WHAT => qq(Relativistic motion in constant uniform electric or magnetic fields.),
}
,
{
   SOURCE => 'relativisticElectrodynamicsL10',
   TITLE => qq(Lorentz force equation energy term, and four vector formulation of the Lorentz force equation.),
   DATE => 'Feb 8, 2011',
   REF => 'relativisticElectrodynamicsL10',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL10.pdf',
   WHAT => qq(Lorentz force equation energy term, and four vector formulation of the Lorentz force equation.),
}
,{
   SOURCE => 'relativisticElectrodynamicsL12',
   TITLE => qq(Action for the field.),
   DATE => 'Feb 10, 2011',
   REF => 'relativisticElectrodynamicsL12',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL12.pdf',
   WHAT => qq(Action for the field.),
}
,{
   SOURCE => 'relativisticElectrodynamicsL14',
   TITLE => qq(PHY450H1S.  Relativistic Electrodynamics Lecture 14 (Taught by Simon Freedman).  Wave equation in Coulomb and Lorentz gauges.),
   DATE => 'Feb 16, 2011',
   REF => 'relativisticElectrodynamicsL14',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL14.pdf',
   WHAT => qq(Wave equation in Coulomb and Lorentz gauges.),
}
,{
   SOURCE => 'relativisticElectrodynamicsL13',
   TITLE => qq(Variational principle for the field.),
   DATE => 'Feb 15, 2011',
   REF => 'relativisticElectrodynamicsL13',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL13.pdf',
   WHAT => qq(Variational principle for the field.),
}
,{
   SOURCE => 'relativisticElectrodynamicsL11',
   TITLE => qq(Unpacking Lorentz force equation.  Lorentz transformations of the strength tensor, Lorentz field invariants, Bianchi identity, and first half of Maxwell's.),
   DATE => 'Feb 9, 2011',
   REF => 'relativisticElectrodynamicsL11',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL11.pdf',
   WHAT => qq(Unpacking Lorentz force equation.  Lorentz transformations of the strength tensor, Lorentz field invariants, Bianchi identity, and first half of Maxwell's.),
}
,{
   SOURCE => 'relativisticElectrodynamicsL15',
   TITLE => qq(Fourier solution of Maxwell's vacuum wave equation in the Coulomb gauge.),
   DATE => 'Mar 1, 2011',
   REF => 'relativisticElectrodynamicsL15',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL15.pdf',
   WHAT => qq(Fourier solution of Maxwell's vacuum wave equation in the Coulomb gauge.),
}
,{
   SOURCE => 'relativisticElectrodynamicsL16',
   TITLE => qq(Monochromatic EM fields.  Poynting vector and energy density conservation.),
   DATE => 'Mar 2, 2011',
   REF => 'relativisticElectrodynamicsL16',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL16.pdf',
   WHAT => qq(Monochromatic EM fields.  Poynting vector and energy density conservation.),
}
,{
   SOURCE => 'relElectroDynProblemSet2',
   TITLE => qq(PHY450H1S Problem Set 2.),
   DATE => 'Feb 1, 2011',
   REF => 'relElectroDynProblemSet2',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relElectroDynProblemSet2.pdf',
   WHAT => qq(PHY450H1S Problem Set 2.),
}
,{
   SOURCE => 'relativisticElectrodynamicsL17',
   TITLE => qq(Energy and momentum density.  Starting a Green's function solution to Maxwell's equation.),
   DATE => 'Mar 8, 2011',
   REF => 'relativisticElectrodynamicsL17',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL17.pdf',
   WHAT => qq(Energy and momentum density.  Starting a Green's function solution to Maxwell's equation.),
}
,{
   SOURCE => 'relativisticElectrodynamicsT5',
   TITLE => qq(PHY450H1S.  Relativistic Electrodynamics Tutorial 5 (TA: Simon Freedman).  Angular momentum of EM fields),
   DATE => 'Mar 10, 2011',
   REF => 'relativisticElectrodynamicsT5',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsT5.pdf',
   WHAT => qq(PHY450H1S.  Relativistic Electrodynamics Tutorial 5 (TA: Simon Freedman).  Angular momentum of EM fields),
}
,{
   SOURCE => 'relElectroDynProblemSet4',
   TITLE => qq(PHY450H1S Problem Set 4.),
   DATE => 'Mar 3, 2011',
   REF => 'relElectroDynProblemSet4',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relElectroDynProblemSet4.pdf',
   WHAT => qq(Problem Set 4.),
}
,{
   SOURCE => 'relativisticElectrodynamicsL18',
   TITLE => qq(Green's function solution to Maxwell's equation.),
   DATE => 'Mar 9, 2011',
   REF => 'relativisticElectrodynamicsL18',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL18.pdf',
   WHAT => qq(Green's function solution to Maxwell's equation.),
}
,{
   SOURCE => 'relativisticElectrodynamicsT4',
   TITLE => qq(PHY450H1S.  Relativistic Electrodynamics Tutorial 4 (TA: Simon Freedman).  Waveguides: confined EM waves.),
   DATE => 'Mar 3, 2011',
   REF => 'relativisticElectrodynamicsT4',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsT4.pdf',
   WHAT => qq(Waveguides: confined EM waves.),
}
,{
   SOURCE => 'relativisticElectrodynamicsL22',
   TITLE => qq(Energy Momentum Tensor.),
   DATE => 'Mar 23, 2011',
   REF => 'relativisticElectrodynamicsL22',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL22.pdf',
   TITLE => qq(Energy Momentum Tensor.),
}
,{
   SOURCE => 'relativisticElectrodynamicsL20',
   TITLE => qq(Potentials at a distance from a localized current distribution.  EM fields due to dipole radiation.),
   DATE => 'Mar 15, 2011',
   REF => 'relativisticElectrodynamicsL20',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL20.pdf',
   WHAT => qq(Potentials at a distance from a localized current distribution.  EM fields due to dipole radiation.),
}
,{
   SOURCE => 'relativisticElectrodynamicsT8',
   TITLE => qq(PHY450H1S.  Relativistic Electrodynamics Tutorial 8 (TA: Simon Freedman).  EM fields from magnetic dipole current.),
   DATE => 'Mar 23, 2011',
   REF => 'relativisticElectrodynamicsT8',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsT8.pdf',
   WHAT => qq(EM fields from magnetic dipole current.),
}
,{
   SOURCE => 'relativisticElectrodynamicsL21',
   TITLE => qq(More on EM fields due to dipole radiation.),
   DATE => 'Mar 22, 2011',
   REF => 'relativisticElectrodynamicsL21',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL21.pdf',
   WHAT => qq(More on EM fields due to dipole radiation.),
}
,{
   SOURCE => 'relativisticElectrodynamicsL24',
   TITLE => qq(Non-relativistic electrostatic Lagrangian.),
   DATE => 'Mar 30, 2011',
   REF => 'relativisticElectrodynamicsL24',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL24.pdf',
   WHAT => qq(Non-relativistic electrostatic Lagrangian.),
}
,{
   SOURCE => 'relativisticElectrodynamicsL25',
   TITLE => qq(Second order interaction, the Darwin Lagrangian.),
   DATE => 'Mar 31, 2011',
   REF => 'relativisticElectrodynamicsL25',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL25.pdf',
   WHAT => qq(Second order interaction, the Darwin Lagrangian.),
}
,{
   SOURCE => 'relElectroDynProblemSet5',
   TITLE => qq(Problem Set 5.),
   DATE => 'Mar 14, 2011',
   REF => 'relElectroDynProblemSet5',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relElectroDynProblemSet5.pdf',
   WHAT => qq(Problem Set 5.),
}
,{
   SOURCE => 'relativisticElectrodynamicsL23',
   TITLE => qq(Energy Momentum Tensor.),
   DATE => 'Mar 29, 2011',
   REF => 'relativisticElectrodynamicsL23',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL23.pdf',
   WHAT => qq(Energy Momentum Tensor.),
}
,{
   SOURCE => 'divergence3Dtensor',
   TITLE => qq(Three dimensional divergence theorem with generally parametrized volume element.),
   DATE => 'April 10, 2011',
   REF => 'divergence3Dtensor',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/divergence3Dtensor.pdf',
   WHAT => qq(Three dimensional divergence theorem with generally parametrized volume element.),
}
,{
   SOURCE => 'relElectroDynProblemSet6',
   TITLE => qq(Problem Set 6.),
   DATE => 'Mar 25, 2011',
   REF => 'relElectroDynProblemSet6',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relElectroDynProblemSet6.pdf',
   WHAT => qq(Problem Set 6.),
}
,{
   SOURCE => 'relativisticElectrodynamicsT9',
   TITLE => qq(Some worked problems.  EM reflection.  Stress energy tensor for simple configurations.),
   DATE => 'Mar 30, 2011',
   REF => 'relativisticElectrodynamicsT9',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsT9.pdf',
   WHAT => qq(Some worked problems.  EM reflection.  Stress energy tensor for simple configurations.),
}
,{
   SOURCE => 'relativisticElectrodynamicsL26',
   TITLE => qq(Radiation reaction force for a dipole system.),
   DATE => 'April 5, 2011',
   REF => 'relativisticElectrodynamicsL26',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL26.pdf',
   WHAT => qq(Radiation reaction force for a dipole system.),
}
,{
   SOURCE => 'complexPlanarBoost',
   TITLE => qq(Playing with complex notation for relativistic applications in a plane),
   DATE => 'Mar 8, 2011',
   REF => 'complexPlanarBoost',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/complexPlanarBoost.pdf',
   WHAT => qq(Playing with complex notation for relativistic applications in a plane),
}
,{
   SOURCE => 'relativisticElectrodynamicsL19',
   TITLE => qq(Lienard-Wiechert potentials.),
   DATE => 'Mar 15, 2011',
   REF => 'relativisticElectrodynamicsL19',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL19.pdf',
   WHAT => qq(Lienard-Wiechert potentials.),
}
,{
   SOURCE => 'relativisticElectrodynamicsExamReflection',
   TITLE => qq(Some exam reflection.),
   DATE => 'April 13, 2011',
   REF => 'relativisticElectrodynamicsExamReflection',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsExamReflection.pdf',
   WHAT => qq()
}
,{
   SOURCE => 'relativisticElectrodynamicsL27',
   TITLE => qq(Radiation reaction force continued, and limits of classical electrodynamics.),
   DATE => 'April 6, 2011',
   REF => 'relativisticElectrodynamicsL27',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/relativisticElectrodynamicsL27.pdf',
   WHAT => qq(Radiation reaction force continued, and limits of classical electrodynamics.),
}
,
{
   SOURCE => 'lorentzForceHamiltonian',
   TITLE => qq(Energy term of the Lorentz force equation.),
   DATE => 'Feb 6, 2011',
   REF => 'lorentzForceHamiltonian',
   URL => 'http://sites.google.com/site/peeterjoot/math2011/lorentzForceHamiltonian.pdf',
   WHAT => qq(Energy term of the Lorentz force equation.),
},
) ; # @phy450

my @otherbook =
(
{
   SOURCE => 'voltageCurrentResistance',
   DATE => 'May 3, 2009',
   REF => 'voltageCurrentResistance',
   TITLE => 'Voltage current, and resistance',
   WHAT => qq(Dad has been complaining for years that these are all cyclically defined in terms of each other.  The point in the end is perhaps not much more than, yes it is possible to define things in a non-cyclic fashion.... but I'm not so sure that my non-cyclic description itself ended up that good. ),
},
{
   SOURCE => 'stubEmFields',
   DATE => 'February 1, 2009',
   REF => 'stubEmFields',
   TITLE => 'stub em fields',
},
{
   SOURCE => 'scratchPlanewave',
   DATE => 'February 1, 2009',
   REF => 'scratchPlanewave',
   TITLE => 'scratch planewave',
},
{
   SOURCE => 'rindler',
   DATE => 'Jan 1, 0000',
   REF => 'rindler',
   TITLE => 'rindler',
},
{
   SOURCE => 'reviewAlanGabook',
   DATE => 'Jan 1, 0000',
   REF => 'reviewAlanGabook',
   TITLE => "Chapter I-III comments on Alan's book",
},
{
   SOURCE => 'reviewAlanGabookCh4',
   DATE => 'Jan 1, 0000',
   REF => 'reviewAlanGabookCh4',
   TITLE => 'review alan ch4',
},
{
   SOURCE => 'pfSch',
   DATE => 'October 14, 2008',
   REF => 'pfSch',
   TITLE => 'pf sch',
},
{
   SOURCE => 'lutQ0304',
   DATE => 'March 1, 2009',
   REF => 'lutQ0304',
   TITLE => 'lut q0304',
},
{
   SOURCE => 'lorentzTxEmPotential',
   DATE => 'October 17, 2008',
   REF => 'lorentzTxEmPotential',
   TITLE => 'Lorentz force interaction',
},
{
   SOURCE => 'longWireQ',
   DATE => 'Jan 1, 0000',
   REF => 'longWireQ',
   TITLE => 'long wire q',
},
{
   SOURCE => 'faradayLagrangian',
   DATE => 'February 1, 2009',
   REF => 'faradayLagrangian',
   TITLE => 'REMOVED FROM electric field energy',
},
{
   SOURCE => 'euler',
   DATE => 'March 1, 2009',
   REF => 'euler',
   TITLE => 'euler',
},
{
   SOURCE => 'constantQ',
   DATE => 'Jan 1, 0000',
   REF => 'constantQ',
   TITLE => 'constant q',
},
{
   SOURCE => 'box',
   DATE => 'Jan 1, 0000',
   REF => 'box',
   TITLE => 'box',
},
{
   SOURCE => 'maxwellLagRotate',
   TITLE => qq(Maxwell Lagrangian, rotation of coordinates.),
   DATE => 'Sept 5, 2009',
   REF => 'maxwellLagRotate',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/maxwellLagRotate.pdf'
},
{
   SOURCE => 'waveguideRetardedAdvanced',
   TITLE => qq((A POSSIBLY WRONG) Superposition of transverse electromagnetic field solutions.),
   DATE => 'August 1, 2009',
   REF => 'waveguideRetardedAdvanced',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/waveguideRetardedAdvanced.pdf'
},
{
   SOURCE => 'wedgeNormVsGaNorm',
   DATE => 'January 1, 2008',
   REF => 'wedgeNormVsGaNorm',
   TITLE => 'Wedge product norm and GA bivector norm comparison',
},
{
   SOURCE => 'twoNinetyRotations',
   DATE => 'January 17, 2009',
   REF => 'twoNinetyRotations',
   TITLE => 'Composition of rotations exercise',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/two_ninety_rotations.pdf',
   WHAT => qq(Work problem from a GA book draft to discuss difference in solution. ),
},
{
   SOURCE => 'tangentspace',
   DATE => 'March 1, 2009',
   REF => 'tangentspace',
   TITLE => 'tangentspace',
},
{
   SOURCE => 'shear',
   DATE => 'April 7, 2008',
   REF => 'shear',
   TITLE => 'Notes on shear transformation',
},
{
   SOURCE => 'schwartzchildMetric',
   DATE => 'October 2, 2008',
   REF => 'schwartzchildMetric',
   URL => 'http://sites.google.com/site/peeterjoot/lut/schwartzchild_metric.pdf',
   TITLE => 'Some GR Notes',
   WHAT => 'Euler-Lagrange calculation for the Schwartzchild metric.',
},
{
   SOURCE => 'matrixToOperator',
   DATE => 'November 25, 2008',
   REF => 'matrixToOperator',
   TITLE => '2D matrix vs. GA wedge-dot',
},
{
   SOURCE => 'gacsQ88',
   DATE => 'May 9, 2008',
   REF => 'gacsQ88',
   TITLE => 'Questioning equation 8.8 from GASC',
},
{
   SOURCE => 'emTensor',
   DATE => 'May 30, 2008',
   REF => 'emTensor',
   TITLE => 'Geometric Algebra: Signs of electromagnetic field tensor components',
},
{
   SOURCE => 'qmbFirstTry',
   DATE => 'May 9, 2009',
   REF => 'qmbFirstTry',
   TITLE => 'VERSION: First try at one dimensional rectangular Quantum barrier problem',
},
{
   SOURCE => 'm',
   DATE => 'Jan 1, 0000',
   REF => 'm',
   TITLE => 'matteo m',
}
,
{
   SOURCE => 'bivectorSelectWrong',
   TITLE => qq(bivectorSelectWrong),
   DATE => 'Sept 6, 2009',
   REF => 'bivectorSelectWrong',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/bivectorSelectWrong.pdf'
}
,{
   SOURCE => 'decodingMercedFlorez',
   TITLE => qq(Decoding the Merced Florez article.),
   DATE => 'Sept 10, 2009',
   REF => 'decodingMercedFlorez',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/decodingMercedFlorez.pdf'
}
,{
   SOURCE => 'dotBlade_rough',
   TITLE => qq(Dot product of vector and blade),
   DATE => 'Aug 11, 2009',
   REF => 'dotBlade_rough',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/dotBlade_rough.pdf'
}
,{
   SOURCE => 'epsilonMixed',
   TITLE => qq(epsilonMixed),
   DATE => 'July 14, 2009',
   REF => 'epsilonMixed',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/epsilonMixed.pdf'
}
,{
   SOURCE => 'gradientAltCoord',
   TITLE => qq(Gradient and Divergence in different coordinate systems.),
   DATE => 'Aug 22, 2009',
   REF => 'gradientAltCoord',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/gradientAltCoord.pdf'
}
,{
   SOURCE => 'gaBasics',
   TITLE => qq(Introduction to Geometric Algebra.),
   DATE => 'Aug 20, 2009',
   REF => 'gaBasics',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/gaBasics.pdf'
}
,{
   SOURCE => 'interactionEnergy',
   TITLE => qq(Electrodynamic interaction energy and momentum),
   DATE => 'July 16, 2009',
   REF => 'interactionEnergy',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/interactionEnergy.pdf'
}
,{
   SOURCE => 'lightQuantize',
   TITLE => qq(Light and Electron Quantization?),
   DATE => 'July 2, 2009',
   REF => 'lightQuantize',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/lightQuantize.pdf'
}
,{
   SOURCE => 'maxwellSepVars',
   TITLE => qq(Separation of variables applied to homogeneous Maxwell equation),
   DATE => 'Aug 9, 2009',
   REF => 'maxwellSepVars',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/maxwellSepVars.pdf'
}
,{
   SOURCE => 'maxwellVacuum_roughNotes',
   TITLE => qq(blah),
   DATE => 'July 1, 2009',
   REF => 'maxwellVacuum_roughNotes',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/maxwellVacuum_roughNotes.pdf'
}
,{
   SOURCE => 'maxwellHomoFirstOrder',
   TITLE => qq(Transverse light wave propagation with z dependence.),
   DATE => 'Aug 9, 2009',
   REF => 'maxwellHomoFirstOrder',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/maxwellHomoFirstOrder.pdf'
}
,{
   SOURCE => 'dotBlade',
   TITLE => qq(Dot product of vector and bivector),
   DATE => 'Aug 11, 2009',
   REF => 'dotBlade',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/dotBlade.pdf'
}
,{
   SOURCE => 'ellipticQ',
   TITLE => qq(question on elliptic function paper.),
   DATE => 'Nov 11, 2009',
   REF => 'ellipticQ',
   URL => 'http://sites.google.com/site/peeterjoot/math2009/ellipticQ.pdf'
},
{
   SOURCE => 'twobodies',
   DATE => 'December 15, 2008',
   REF => 'twobodies',
   TITLE => 'Time for two bodies to converge in space',
   WHAT => 'Busted attempt at calculation of time for two particles to converge in space.  Revisit this later and get it right.',
},
{
   SOURCE => 'greens',
   DATE => 'December 19, 2008',
   REF => 'greens',
   TITLE => "Green's functions",
   URL => "http://sites.google.com/site/peeterjoot/math/greens.pdf",
   WHAT => "Incompletely written up notes aiming to develop some intuition on Green's functions.",
},
{
   SOURCE => 'srLagrangianQ',
   DATE => 'October 1, 2008',
   REF => 'srLagrangianQ',
   TITLE => 'sr lagrangian',
},
) ; # @otherbook

my @mathematica =
(
{
   DATE => 'Nov 6, 2011',
   path => 'financials/ibm_stock_plot.cdf',
   WHAT => qq(Plotting last couple weeks of IBM stock history.)
},
{
   DATE => 'Mar 11, 2011',
   path => 'mathematica/FailedRealSimplify.nb',
   WHAT => qq(tried to find real parts and had trouble.)
},
{
   DATE => 'Mar 12, 2011',
   path => 'mathematica/FailedRealSimplify2.nb',
   WHAT => qq(Same thing, simplified for stackoverflow question.)
},
{
   DATE => 'Mar 12, 2011',
   path => 'mathematica/SphericalCurlAttempt.nb',
   WHAT => qq(Trying to do some spherical polar calculations.  Gave up and did them by hand.)
},
{
   DATE => 'Mar 23, 2011',
   path => 'mathematica/phy450ps5rough.nb',
   WHAT => qq(Generate figures for an electrodynamics problem set submission.)
},
# trash:
{
   DATE => 'Mar 11, 2011',
   path => 'mathematica/plot3dAttempt.nb',
   WHAT => qq(An early plot attempt.)
},
{
   DATE => 'Mar 10, 2011',
   path => 'mathematica/simple-1.nb',
   WHAT => qq(Some very first basic attempts to use mathematica.  Integrate and Plot and matrix syntax.)
},
{
   DATE => 'Apr 21, 2011',
   path => 'blogit/minorTrigIntegrals.nb',
   WHAT => qq(Integrate and TrigReduce)
},
{
   DATE => 'Apr 25, 2011',
   path => 'papers/obliqueReciprocal.nb',
   WHAT => qq(Generate figures for arxiv 1104.4829 paper.)
},
{
   DATE => 'Apr 21, 2011',
   path => 'phy356/deltaFunctionPlots.nb',
   WHAT => qq(Generate figures for square well and delta function well for phy356 notes..)
},
{
   DATE => 'Apr 21, 2011',
   path => 'phy450/mathematica/dipolePlot.nb',
   WHAT => qq(plot of dipole moment)
},
{
   DATE => 'Apr 21, 2011',
   path => 'phy450/mathematica/ps5IntegralTakeII.nb',
   WHAT => qq(Integrate x sin(a - |x|)/|x|)
},
{
   DATE => 'Sep 15, 2011',
   path => 'blogit/DiracGammaMatrix.nb',
   WHAT => qq(Some gamma matrix calculations.)
},
{
   DATE => 'Sep 15, 2011',
   path => 'blogit/eigenvectors_of_a_cross_product_matrix.nb',
   WHAT => qq(Probably messing around with a Lorentz force problem.)
},
{
   DATE => 'Sep 15, 2011',
   path => 'gabook/mathematica/matrixVectorPotentialsTrig.nb',
   WHAT => qq(Some trig double angle reductions.)
},
{
   DATE => 'Sep 15, 2011',
   path => 'gabook/mathematica/pendulumDouble.nb',
   WHAT => qq(Generate some double pendulum figures.)
},
{
   DATE => 'Sep 15, 2011',
   path => 'phy456/mathematica/desai_S_24_2_1_verify.nb',
   WHAT => qq(Some integrals related to QM hydrogen atom energy expectation values.)
},
{
   DATE => 'Sep 24, 2011',
   path => 'phy456/mathematica/problem_set_2,_problem_2,_verify_wavefunction_normalization.nb',
   WHAT => qq(Some trig integrals that I didn't feel like doing manually.)
},
{
   DATE => 'Sep 28, 2011',
   path => 'phy456/mathematica/problem_set_3_integrals.nb',
   WHAT => qq(Some gaussian integrals.)
},
{
   DATE => 'Sep 24, 2011',
   path => 'phy456/mathematica/exponential_integrals.nb',
   WHAT => qq(More gaussian integrals and some that Mathematica didn't know how to do.)
},
{
   DATE => 'Oct 2, 2011',
   path => 'phy456/mathematica/24.4.3_attempt_with_mathematica.nb',
   WHAT => qq(Some variational method calculations for QM energy estimation.)
},
{
   DATE => 'Oct 5, 2011',
   path => 'phy456/mathematica/gaussian_fitting_for_abs_function.nb',
   WHAT => qq(Hankle function fitting for e^{-b|x|} and related plots.)
},
{
   DATE => 'Oct 8, 2011',
   path => 'phy456/mathematica/qmTwoL8figures.nb',
   WHAT => qq(Plot of gaussian weighted cosine, its Fourier transform, and figure for perturbation of Harmonic oscillator system.)
},
{
   DATE => 'Oct 9, 2011',
   path => 'phy456/mathematica/qmTwoL9figures.nb',
   WHAT => qq(Sinusoid plot turned on at t_0 and ongoing from there.)
},
{
   DATE => 'Oct 6, 2011',
   path => 'phy456/mathematica/stack_overflow_question_mathematica_exponential_Nth_derivative_treated_as_an_unknown_function.nb',
   WHAT => qq(Stripped down example notebook for stackoverflow question about Derivative[2] not behaving well.)
},
{
   DATE => 'Oct 6, 2011',
   path => 'phy456/mathematica/stackoverflow_question_about_listable.nb',
   WHAT => qq(Stripped down example notebook for stackoverflow question about Listable attribute defaults.)
},
{
   DATE => 'Oct 16, 2011',
   path => 'phy456/mathematica/desai_attempt_to_verify_section_16.3.nb',
   WHAT => qq(Some energy expectation value calculations.)
},
{
   DATE => 'Oct 15, 2011',
   path => 'phy456/mathematica/desai_24_4_4.nb',
   WHAT => qq(Another worked variational method problem.)
},
{
   DATE => 'Oct 15, 2011',
   path => 'phy456/mathematica/desai_24_4_5.nb',
   WHAT => qq(Another worked variational method problem.)
},
{
   DATE => 'Oct 15, 2011',
   path => 'phy456/mathematica/desai_24_4_6.nb',
   WHAT => qq(Another worked variational method problem.  Looks like I've learned about the /. operator for evaluating variables with values.)
},
{
   DATE => 'Oct 10, 2011',
   path => 'phy456/mathematica/problem_set_4,_problem_2.nb',
   WHAT => qq(Some trig integrals that Mathematica didn't evaluate correctly.  Don't trust a tool without thinking whether the results are good!)
},
{
   DATE => 'Oct 15, 2011',
   path => 'phy456/mathematica/qmTwoL10figures.nb',
   WHAT => qq(Some sinc function plots.  Learned how to use Manipulate to make sliders.)
},
{
   DATE => 'Oct 26, 2011',
   path => 'blogit/desai_24.4.1_wkb_harmonic_oscillator.nb',
   WHAT => qq(A square root quadratic integral.)
},
{
   DATE => 'Oct 28, 2011',
   path => 'blogit/qmTwoR3figures.nb',
   WHAT => qq(Figure for square well with Perturbing potential in the well, and for degeneracy splitting.)
},
{
   DATE => 'Oct 31, 2011',
   path => 'phy456/mathematica/plot_question.nb',
   WHAT => qq(Another stackoverflow mathematica question.  Why no output in my plot.  Learned about Mathematica local and global variables as a result.)
},
{
   DATE => 'Oct 18, 2011',
   path => 'phy456/mathematica/problem_set_5_integrals.nb',
   WHAT => qq(Some integrals of first order linear polynomials.)
},
{
   DATE => 'Oct 17, 2011',
   path => 'phy456/mathematica/qmTwoL11figures.nb',
   WHAT => qq(Some vector addition and function translation figures.)
},
{
   DATE => 'Oct 19, 2011',
   path => 'phy456/mathematica/qmTwoL12_figures.nb',
   WHAT => qq(Some step and rect function plots.)
},
{
   DATE => 'Oct 14, 2011',
   path => 'blogit/wolfram_twitter_tips.nb',
   WHAT => qq(Take the wolfram twitter tip feed and try out some of the interesting recent ones.)
},
{
   DATE => 'Oct 31, 2011',
   path => 'phy456/mathematica/problem_set_7_verify_rotation_matrix_orthonormal.nb',
   WHAT => qq(A sanity check on a rotation matrix calculated as part of a problem set.)
},
{
   DATE => 'Dec 17, 2011',
   path => 'phy456/mathematica/qmTwoExamReflection.cdf',
   WHAT => qq(Exam problem 2a.  Calculate the matrix of a Perturbation Hamiltonian \$-\\boldsymbol{\\mu}_d \\cdot \\mathbf{E}\$ with respect to the \$n=2\$ hydrogen atom wave functions.)
},
{
   DATE => 'Dec 12, 2011',
   path => 'blogit/sincSquaredEvaluation.nb',
   WHAT => qq(A SinIntegral plot and sinc integration with use of Limit[])
},
{
   DATE => 'Jan 17, 2012',
   path => 'phy454/mathematica/strainTensorCylindrical.cdf',
   WHAT => qq(Compute the cylindrical strain tensor components to second order.

Using the notation package for the first time to get results that make the mathematica notebook text intelligible as well as the final result.

Also use the Collect[] function for the first time to group the results according to the differential products of interest.)
},
{
   DATE => 'Jan 21, 2012',
   path => 'phy454/mathematica/strainTensorSpherical.cdf',
   WHAT => qq(Like strainTensorCylindrical but for spherical coordinates.

Here I used Coefficient instead of Collect so that I could factor out the additional portions of the area element differentials for constancy and comparison with the Landau and Lifshitz equation.)
},
{
   DATE => 'Jan 17, 2012',
   path => 'phy454/mathematica/strainTensorSphericalColumnVectors.cdf',
   WHAT => qq@
Same as strainTensorSpherical, but I didn't pre-compute the line element differentials myself, instead letting mathematica do the grunt work.

Note that in this version, I specified the definitions of rcap, thetacap, and phicap manually, but had some commented out code to verify that I had this right.

This notebook was left using Collect instead of coefficient, so the collected factors do not match the text equation results without additional manual comparison work.

Also use this to output the column matrices for rcap, thetacap and phicap and drcap/dt.
@
},
{
   DATE => 'Feb 3, 2012',
   path => 'phy454/mathematica/continuumProblemSet1Q1.cdf',
   WHAT => qq(PHY454.  Problem set 1.

Final grunt calculation.

Mathematica features used: 3x3 matrix, IdentityMatrix, Tr (trace), MatrixForm, evaluate last expression.)
},
{
   DATE => 'Dec 21, 2011',
   path => 'blogit/moreTwitterTips.cdf',
   WHAT => qq()
},
{
   DATE => 'Feb 4, 2012',
   path => 'phy454/mathematica/continuumProblemSet1Q2.cdf',
   WHAT => qq(PHY454 Problem set 1.  Q2.

Confirm the characteristic equation calculated manually.

Find the root, by solving the characteristic equation.

Find the eigenvalues and normalized eigenvectors.

Interesting mathematica functions used: Map which applies operation to list, Normalize, Solve, Table, Total -- adding all elements in a list.)
},
{
   DATE => 'Feb 5, 2012',
   path => 'phy454/mathematica/continuumProblemSet1Q3.cdf',
   WHAT => qq(PHY454 Problem set 1.  Q3.

Confirm some manual matrix calculations.

Used Cross product function, and Orthogonalize for Gram-Schmidt like expansion.)
},
{
   DATE => 'Feb 8, 2012',
   HEIGHT => 2500,
   path => 'phy454/mathematica/continuumProblemSet1Q2animated.cdf',
   WHAT => qq@PHY454 Problem set 1.  Q2.

Animate the stress tensor associated with the problem, for different points and values of Poisson's ratio.

This generalizes the solution of the problem since answers visually whether the point is under expansion (blue arrow) or under compression (red arrow) at each point in space.

Mathematica manipulate sliders are used to select the spatial points and the value of Poisson's ratio.

Used a number of new (for me) mathematica features: Table, Arrow, If, Part, multiple colors in Graphics3D, DiagonalMatrix, Diagonal (select diagonal into list), Tr (not Trace!), Map, Eigenvalues, Eigenvectors, and in a later version Eigensystem to replace the last two.

The code has links to various stackexchange questions for this notebook.  There's an answer on scaling that's incorporated into the Graphics3D options.  One more mathematica stackexchange question answered on this little notebook which motivated the Dynamic and DynamicModule calls now here, and one more that drove the change to use Eigensystem.
@
},
{
   DATE => 'Feb 12, 2012',
   path => 'phy454/mathematica/partErrorTestStandalone2D.cdf',
   WHAT => qq(Based on phy454/mathematica/continuumProblemSet1Q2animated.cdf, with most stuff stripped out to ask about the errors on initial load in mathematica.stackexchange question.),
},
{
   DATE => 'Feb 19, 2012',
   path => 'classicalmechanics/mathematica/infiniteCylinderPotential.cdf',
   WHAT => qq(Attempt at evaluating the potential for an infinite cylinder.)
},
{
   DATE => 'Feb 24, 2012',
   path => 'classicalmechanics/mathematica/psIIp4InfPlanePotTakeIII.cdf',
   WHAT => qq(Attempt at evaluating the potential for an infinite plane.  Experimenting with using mathematica to produce decent documents, as well as trying a variation of the previous calculation where I used \$R^2 \\sim e\$.

The final output is not as nice as latex, but the save as latex option seems promising.  New Mathematica tools used in this notebook include HoldForm, TraditionalForm, and ReleaseHold, which can be used to generate traditional form by default for scratch display generation.

Note that cut-and-pasting URLS in comments as I've been doing get mangled and can't be followed.  Switched the ones in this doc to Insert->Hyperlink instead.
)
},
{
   DATE => 'Feb 27, 2012',
   path => 'classicalmechanics/mathematica/psIIp4InfCylPot.cdf',
   WHAT => qq(Attempt evaluation of a cylindrical potential.

New Mathematica methods used: HoldForm, Assuming, Assumptions.
)
},
{
   DATE => 'Mar 3, 2012',
   path => 'phy454/mathematica/twoLayerInclinedFlowDifferentDensities.cdf',
   WHAT => qq(Plug in some numbers for the viscosities and densities for the inclined fluid flow down a plane problem.  Insertion of an air layer above the water ends up with the air speed humongous!  Steady state not realistic?  What are the length scales required for steady state?

New mathematica functions used: WolframAlpha, ChemicalData.
)
},
{
   DATE => 'Mar 4, 2012',
   path => 'phy454/mathematica/twoLayerInclinedFlowDifferentDensitiesTheCalculation.cdf',
   WHAT => qq(Redo the hand calculation in twoLayerInclinedFlowDifferentDensities.tex completely in mathematica and verify the results.  I did it right.

Notable mathematica functions used: Do, Solve, Collect, ExpandAll.
)
},
{
   DATE => 'Mar 13, 2012',
   path => 'phy454/mathematica/continuumProblemSet2Fig1r2.cdf',
   WHAT => qq(
Generate figures for continuum mechanics problem set II figure 1.  Using Show and ParametericPlot for the first time.  First version used Wacom tablet and graphics drawing options to put in arrows.  Text labels later added with Inkscape latex-pdf.  Later version used Array of Arrows to draw vector field.  Looks much better.
)
},
{
   DATE => 'Mar 14, 2012',
   path => 'phy454/mathematica/continuumProblemSet2Fig3.cdf',
   WHAT => qq(Figure3 for continuum mechanics problem set II.  Used ChemicalData again and used Piecewise.)
},
{
   DATE => 'Mar 14, 2012',
   path => 'phy454/mathematica/problemSetIIQ3exactSolution.cdf',
   WHAT => qq(Exact solution to Q3 velocities.  Return to this and plot it later.)
},
{
   DATE => 'Mar 16, 2012',
   path => 'phy454/mathematica/continuumL17Figures.cdf',
   WHAT => qq(erf Plot.  Using AxesLabel)
},
{
   DATE => 'Mar 22, 2012',
   path => 'phy454/mathematica/problemSetIIQ3PlotWithManipulate.cdf',
   WHAT => qq(Plotting the two layer constant pressure gradient solution.)
},
{
   DATE => 'Mar 29, 2012',
   path => 'phy454/mathematica/continuumL20Figures.cdf',
   WHAT => qq(Generate figures for lecture 20 notes.)
},
{
   DATE => 'Mar 31, 2012',
   path => 'phy454/mathematica/channelFlowWithStepPressureGradient.cdf',
   WHAT => qq(Animation for the time evolution of a channel flow due to constant pressure gradient turned on at an initial time for fluid at rest before that.)
},
{
   DATE => 'Apr 4, 2012',
   path => 'phy454/mathematica/continuumL22Figures.cdf',
   WHAT => qq(Figure for last lecture.  Defined a rectGraphic function, just to create a drawing area.  Toss that in a mathematica module file to learn how to make one.)
},
{
   DATE => 'Apr 11, 2012',
   path => 'phy454/mathematica/couetteFlow.cdf',
   WHAT => qq(Plot the Couette flow solutions.  This is by far my coolest attempt to use Mathematica to do visualization so far.  The velocity field is plotted in the appropriate circular contours, albeit without arrows and without an envelope with the contours of the field profile.  New tricks learned for this notebook include the use of Slider, Dynamic, and RadioButtonBar.  Row and Column were used to group the sliders and labels and resulting plots.  I coded up a really cool viscosity and density selector too, but that did not get used here so I commented it out and disabled the initialization cell that I had put in for the ChemicalData lookup.  Things were also coded in a nice clean fashion so that I could use one helper function to generate both the Manipulate like controls and also the table that I used to save an animation for my pdf file with the original calculations.)
},
{
   DATE => 'Apr 14, 2012',
   path => 'phy454/mathematica/twoCylinders.cdf',
   WHAT => qq(Plot the flow between two infinite cylinders.  Mathematica coding style is getting nicer.  This has no prologue attempting to be self contained with a nice text description ... too much work to do that in Mathematica instead of Latex.  Used Manipulate to generate an animation that includes the sliders.  Tried embedding this in the associated pdf, but ffmpeg cant handle it, and I do not know how to coerce it to do so.)
},
{
   DATE => 'Apr 15, 2012',
   path => 'phy454/mathematica/twoCylinders3D.cdf',
   WHAT => qq(Take the previous calculation and display and do it in 3D instead.  Very cool.)
},
{
   DATE => 'Apr 15, 2012',
   path => 'phy454/mathematica/demoTemplateTwoCylinders3D.nb',
   WHAT => qq(Add some explanatory text, and put in the format required for the wolfram demo upload page.)
},
{
   DATE => 'Apr 20, 2012',
   path => 'mathematica/aurorasPlotPlay.cdf',
   WHAT => qq(Play around with sliders and 2D locator controls, doing something like what Aurora did in class automatically for larger numbers of lines.)
},
{
   DATE => 'Apr 25, 2012',
   path => 'phy454/mathematica/bottomlessCoffee.cdf',
   WHAT => qq(Plot the Bessel function fitting for the spin down of a bottomless coffee cup.  Also animate the time evolution of the spin down with a Manipulate slider.  As mentioned in the text, this does not match reality too well.)
},
{
   DATE => 'Apr 25, 2012',
   path => 'phy454/mathematica/continuumFluidsReview.cdf',
   WHAT => qq(The integral for chapter 7, problem 2 of Landau's fluids.  Curve for a fluid meniscus up a wall.)
},
{
   DATE => 'Apr 27, 2012',
   path => 'phy454/mathematica/coffeeCupWithBottom.cdf',
   WHAT => qq(Solving the PDE for the non-bottomless coffee cup problem.  Find Bessel functions of order 1.  Find the fitting coefficients for stirring above the bottom, in the layer of fluid lower than the stirring.  Plot this function, and verify against boundary condition.)
},
{
   DATE => 'Apr 19, 2012',
   path => 'blogit/fragment.cdf',
   WHAT => qq(Experimenting with Function and HoldFirst.  Can use that instead of HoldForm for just one arg, and then do not need a ReleaseHold.)
},
{
   DATE => 'May 3, 2012',
   path => 'blogit/BesselJIntegrals.cdf',
   WHAT => qq(Some symbolic Bessel integrals over zeros.)
},
{
   DATE => 'May 4, 2012',
   path => 'blogit/hyperbolicSineFourier.cdf',
   WHAT => qq(Construct the sinh function using Fourier series and plot it with a Manipulate on the number of terms.)
},
{
   DATE => 'Aug 5, 2012',
   path => 'phy485/mathematica/modernOpticsProblemCh2Pr6Plots.cdf',
   WHAT => qq(Plots for problem 2.6 in Fowles Modern Optics.)
},
{
   DATE => 'Aug 9, 2012',
   path => 'phy485/mathematica/ellipticalPolarizationRotationToStdForm.cdf',
   WHAT => qq(Problem 2.9 in Fowles Modern Optics.  General Jones vector)
},
{
   DATE => 'Oct 4, 2012',
   path => 'phy485/mathematica/modernOpticsProblemSet1.cdf',
   WHAT => qq(Problem set 1 numerical and plot stuff.)
},
{
   DATE => 'Oct 17, 2012',
   path => 'phy485/mathematica/diffractionBesselFunctionTransformPair.cdf',
   WHAT => qq(Attempt to verify the circular aperture Fourier transform result from the diffraction notes.  Mathematica gives me a different result than what our Prof detailed.)
},
{
   DATE => 'Oct 22, 2012',
   path => 'phy485/mathematica/modernOpticsProblemSet2work.cdf',
   WHAT => qq(Problem set 2 work.  Verify some results.  Do the plots and numerical work.  This includes the integral that yields the first order Bessel function.)
},
{
   DATE => 'Oct 24, 2012',
   path => 'phy485/mathematica/randomVariate.cdf',
   WHAT => qq(Thinking about problem set 2 problem 3b.  Logical want to consider the solar originated rays as random variates in the lingo of mathematica ... functions that generate frequencies or frequency ranges as opposed to the probability that a frequency is found in a certain range.)
},
{
   DATE => 'Oct 30, 2012',
   path => 'phy485/mathematica/gaussianScalingVerification.cdf',
   WHAT => qq(Determine the scaling and variance for a gaussian)
},
{
   DATE => 'Oct 30, 2012',
   path => 'phy485/mathematica/etalon.cdf',
   WHAT => qq(Plot the Etalon function.  Used Evaluate and the PlotLegends package to label the level curves automatically)
},
{
   DATE => 'Nov 01, 2012',
   path => 'phy485/mathematica/lecture14figures.cdf',
   WHAT => qq(Plots for lecture 14.  One is a simple sine squared (using Ticks to mark only on 2 Pi multiples), and the other I was experimenting with Mathematica Text label placement.)
},
{
   DATE => 'Nov 06, 2012',
   path => 'phy485/mathematica/etalonFancyLabellingApp.cdf',
   WHAT => qq(Try out Belisaris's label placement "App" for the Etalon figure.)
},
{
   DATE => 'Nov 06, 2012',
   path => 'phy485/mathematica/etalonFancyLabellingResult.cdf',
   WHAT => qq(Results from Belisaris's label placement "App" for the Etalon figure.)
},
{
   DATE => 'Nov 08, 2012',
   path => 'phy485/mathematica/lecture15figures.nb',
   WHAT => qq(Plot the single slit diffraction wavefunction and N slit intensity, the latter using a Manipulate so that various parameters can be played with)
},
{
   DATE => 'Nov 08, 2012',
   path => 'phy485/mathematica/problemSet3.nb',
   WHAT => qq(Plots and rough calculations for problem set 3)
},
{
   DATE => 'Nov 20, 2012',
   path => 'phy485/mathematica/lecture18figures1DQuantumSHO.nb',
   WHAT => qq(Plots for lecture 18.  First couple 1D Quantum SHO solutions)
},
{
   DATE => 'Dec 1, 2012',
   path => 'phy485/mathematica/lecture20figures.nb',
   WHAT => qq(Plots for lecture 20.)
},
{
   DATE => 'Dec 1, 2012',
   path => 'phy485/mathematica/gaussianBeamHandoutNotes.nb',
   WHAT => qq(Plot of the lowest order Gaussian beam envelope.  Verify normalization from page 2 of the notes.  Use ContourPlot3D to plot the hyperboliod of revolution for the lowest order Gaussian beam mode.)
},
{
   DATE => 'Dec 4, 2012',
   path => 'phy485/mathematica/fowles1028signError.nb',
   WHAT => qq(Verify sign error in the characteristic poly in Fowles just before 10.28.  Functions used: Collect, Solve.  Also sets up a 2 by 2 matrix.)
},
{
   DATE => 'Dec 4, 2012',
   path => 'phy485/mathematica/problemSet4problem2c.nb',
   WHAT => qq(Compute characteristic equation coefficients for unequal focal radii.  Functions used: Det, CoefficientList, Factor, FullSimplify.)
},
{
   DATE => 'Nov 6, 2012',
   path => 'phy485/mathematica/etalonAngularFancyLabellingApp.nb',
   WHAT => qq(likely using Belisaris's labeling app)
},
{
   DATE => 'Nov 21, 2012',
   path => 'phy485/mathematica/negativeExponentialPlot.nb',
   WHAT => qq(Plot of decreasing exponential)
},
{
   DATE => 'Dec 7, 2012',
   path => 'phy485/mathematica/midtermReflectionAbsSincPlot.nb',
   WHAT => qq(Plot of Abs[Sinc[]] for Lloyd's mirror problem post midterm reflection)
},
{
   DATE => 'Dec 10, 2012',
   path => 'phy485/mathematica/2010finalQuestion3BesselIntegral.nb',
   WHAT => qq(Bessel integral for 2010 question 3 exam practise)
},
{
   DATE => 'Dec 11, 2012',
   path => 'phy485/mathematica/2010finalQuestion5numericalEvaluation.nb',
   WHAT => qq(Numerical evaluation for 2010 question 5a and 5b exam practise.  Used the new Mathematica 9 Quantity function for easy handling of units.  Provides a nice check that the right numerical combinations end up dimensionless.)
},
{
   DATE => 'Dec 15, 2012',
   path => 'phy485/mathematica/vanDrielz0z1z2stabilityAlgebra.nb',
   WHAT => qq(Here's the algebra for the Van Driel notes that give expressions for z1 z2 z0 in terms of g1 g2, and for w(z) at these points.  Too hard to do it by hand.  Mathematica functions used include Notation package for subscript variables, Flatten, Solve, Eliminate, FullSimplify, and Factor.)
},
{
   DATE => 'Dec 25, 2012',
   path => 'phy452/mathematica/atleeJackson1_13.nb',
   WHAT => qq()
},
{
   DATE => 'Jan 1, 2013',
   path => 'phy452/mathematica/kittelCh2Fig1App.nb',
   WHAT => qq(Use the labelling app for a figure)
},
{
   DATE => 'Jan 1, 2013',
   path => 'phy452/mathematica/kittelCh2Fig1.nb',
   WHAT => qq(Output of kittelCh2Fig1App.nb)
},
{
   DATE => 'Jan 10, 2013',
   path => 'phy452/mathematica/lecture2Figures.nb',
   WHAT => qq(Plots for lecture 2)
},
{
   DATE => 'Jan 10, 2013',
   path => 'phy452/mathematica/lecture2Fig7.nb',
   WHAT => qq(Generated notebook for plot for lecture 2, figure 7)
},
{
   DATE => 'Jan 13, 2013',
   path => 'phy452/mathematica/normalizationCentralLimitTheoremVsBinomialLimitCheck.nb',
   WHAT => qq(Check normalization of central limit theorem binomial fair coin result vs result given in class ... these are off by a factor of two)
},
{
   DATE => 'Jan 19, 2013',
   path => 'phy452/mathematica/attemptAtProblemSet2Problem1iiIntegrals.nb',
   WHAT => qq(Plots and integrals for problem set II.)
},
{
   DATE => 'Jan 19, 2013',
   path => 'phy452/mathematica/attemptAtProblemSet2Problem1iiIntegralsLabelAppGenerated.nb',
   WHAT => qq(Labelling app generated notebook)
},
{
   DATE => 'Jan 30, 2013',
   path => 'phy452/mathematica/statMechProblemSet3.nb',
   WHAT => qq(problem set 3 calculations and figures)
},
{
   DATE => 'Feb 2, 2013',
   path => 'phy452/mathematica/shoPhaseSpacePlots.nb',
   WHAT => qq(SHO elliptic plot.  Have a Manipulate driven illustration of Liouville's theorem, showing the trajectory of an area in the phase space, allowing observation of the area invariance as it distorts around the path.)
},
{
   DATE => 'Feb 6, 2013',
   path => 'phy452/mathematica/binomialPlotsExactAndApprox.nb',
   WHAT => qq(Plot of unfair coin binomial and the Gaussian approximation.)
},
{
   DATE => 'Feb 10, 2013',
   path => 'phy452/mathematica/kittelCh3Problem1Plots.nb',
   WHAT => qq(Plots for chapter 3, problem 1.  Used the new mathematica 9 PlotLegends, a bit better than the version 8 implementation, and now built in.)
},
{
   DATE => 'Feb 10, 2013',
   path => 'phy452/mathematica/cyclindrialMomenta.nb',
   WHAT => qq(Jacobian transformation, for the change of vars for the volume element from cartesian cylindrical coordinates.)
},
{
   DATE => 'Feb 11, 2013',
   path => 'phy452/mathematica/nVolumeTrickToCalculateAreaOfCircle.nb',
   WHAT => qq(integration of \$x^2 + y^2\$ over a circular quadrant.  Used as an example in the easy way hyper volume discussion)
},
{
   DATE => 'Feb 11, 2013',
   path => 'phy452/mathematica/sphericalPhaseSpaceChangeOfVars.nb',
   WHAT => qq(Jacobian calculation for phase space change of vars, Cartesian to spherical.   Also verifies the hand calculations for the momenta in spherical coordinates)
},
{
   DATE => 'Feb 13, 2013',
   path => 'phy452/mathematica/midtermQ4twoEqualMassesCollision.nb',
   WHAT => qq(verify the collision of two equal masses statement made in class.  Particles swap velocities.  The other solution is that the final velocities equal the initial.)
},
{
   DATE => 'Feb 23, 2013',
   path => 'phy452/mathematica/problemSet4Problem2c.nb',
   WHAT => qq(Problem set 4 stuff)
},
{
   DATE => 'Feb 23, 2013',
   path => 'phy452/mathematica/problemSet4Problem1.nb',
   WHAT => qq(Problem set 4 stuff)
},
{
   DATE => 'Feb 28, 2013',
   path => 'phy452/mathematica/kittelRotationalPartition.nb',
   WHAT => qq(Kittel problem 3.6 plots)
},
{
   DATE => 'March 6, 2013',
   path => 'phy452/mathematica/problemSet5Plots.nb',
   WHAT => qq(plots and rough calculations for problem set 5)
},
{
   DATE => 'March 6, 2013',
   path => 'phy452/mathematica/problemSet5Problem3partD.nb',
   WHAT => qq(plots and rough calculations for problem set 5)
},
{
   DATE => 'March 10, 2013',
   path => 'phy452/mathematica/midtermTwoQ1FinalSimplificationMu.nb',
   WHAT => qq(Expand and simplify some hyperbolic products.  This took a bit of coersion, suprising for a simple expression.  To do the simplification, I had to use all of TrigToExp, Expand, Simplify, Numerator, Denominator, ExpandAll, ExpToTrig),
},
{
   DATE => 'March 10, 2013',
   path => 'blogit/increasingTheMathematicaOutputSizeByAlteringScreenResolution.nb',
   WHAT => qq(Increase the default display size for fonts for input and output to something readable!  http://mathematica.stackexchange.com/q/745),
},
{
   DATE => 'March 13, 2013',
   path => 'phy452/mathematica/pathria_3_30.nb',
   WHAT => qq(Plot and messy algebra bits for Pathria problem 3.30),
},
{
   DATE => 'March 19, 2013',
   path => 'phy452/mathematica/crudeAttemptsToPlotFermiOccupancy.nb',
   WHAT => qq(Try to Plot the Fermi occupancy.  This doesn't behave well numerically at low temperatures),
},
{
   DATE => 'March 21, 2013',
   path => 'phy452/mathematica/kittelZipper.nb',
   WHAT => qq(Kittel zipper problem and plot.  Found how to use Placed PlotLegends with {Left, Top} instead of Left, to get the legend into the figure for use in Save As.),
},
{
   DATE => 'March 25, 2013',
   path => 'phy452/mathematica/lecture16DensityPlot.nb',
   WHAT => qq(Plot the period boundary conditions density.  Used Mathematica Map, pure functions, Placed PlotLegends, ToString, Text, text concatonation operator),
},
# not all of these are committed to the repo.  Some are, but are not described here.
#blogit/imageProcessingExperimentation.cdf
#blogit/streamSlowCurveFit.cdf
#classicalmechanics/mathematica/psIIp4InfPlanePot.cdf
#classicalmechanics/mathematica/psIIp4InfPlanePotTakeII.cdf
#phy454/mathematica/continuumL21Figures.cdf
#{
#   DATE => '',
#   path => '',
#   WHAT => qq()
#},
) ; # @mathematica

my %monthsOfYear = (
'January' => 1,
'Jan' => 1,
'February' => 2,
'Feb' => 2,
'March' => 3,
'Mar' => 3,
'April' => 4,
'Apr' => 4,
'May' => 5,
'June' => 6,
'Jun' => 6,
'July' => 7,
'Jul' => 7,
'August' => 8,
'Aug' => 8,
'September' => 9,
'Sept' => 9,
'October' => 10,
'Oct' => 10,
'November' => 11,
'Nov' => 11,
'December' => 12,
'Dec' => 12,
) ;

#checkDate() ; die ;

my @All ;

if ( $doGabook )
{
   push( @All, @gabook ) ;
}

if ( $doOtherbook )
{
   push( @All, @otherbook ) ;
}

if ( $doPhy356 )
{
   push( @All, @phy356 ) ;
}

if ( $doClassicalMechanics )
{
   push( @All, @classicalmechanics ) ;
}

if ( $doPhy456 )
{
   push( @All, @phy456 ) ;
}

if ( $doPhy454 )
{
   push( @All, @phy454 ) ;
}

if ( $doPhy485 )
{
   push( @All, @phy485 ) ;
}

if ( $doPhy452 )
{
   push( @All, @phy452 ) ;
}

if ( $doPhy450 )
{
   push( @All, @phy450 ) ;
}

if ( $doNonga )
{
   push( @All, @miscphysics ) ;
}

if ( $doHistory )
{
   printHistory( @All ) ;
}
elsif ( $doBib )
{
   printBib( @gabook, @miscphysics, @phy356, @classicalmechanics, @phy456, @phy454, @phy485, @phy452, @phy450, @otherbook ) ;

   # generate cross reference's to gabook for miscphysics.pdf
   printBookBib( 'Exploring physics with Geometric Algebra',
                 'gabook',
                 'http://sites.google.com/site/peeterjoot/math2009/gabook.pdf',
                 @gabook ) ;

   printBookBib( 'Misc Physics and Math Play',
                 'miscphysics',
                 'http://sites.google.com/site/peeterjoot/math2009/miscphysics.pdf',
                 @miscphysics ) ;

   printBookBib( 'Quantum Mechanics I.',
                 'phy356',
                 'http://sites.google.com/site/peeterjoot2/math2010/phy356.pdf',
                 @phy356 ) ;

   printBookBib( 'Quantum Mechanics II.',
                 'phy456',
                 'http://sites.google.com/site/peeterjoot2/math2011/phy456.pdf',
                 @phy456 ) ;

   printBookBib( 'Relativistic Electrodynamics.',
                 'phy450',
                 'http://sites.google.com/site/peeterjoot2/math2011/phy450.pdf',
                 @phy450 ) ;

   printBookBib( 'Some classical mechanics notes.',
                 'classicalmechanics',
                 'http://sites.google.com/site/peeterjoot2/math2013/classicalmechanics.pdf',
                 @classicalmechanics ) ;

   printBookBib( 'Continuum mechanics.',
                 'phy454',
                 'http://sites.google.com/site/peeterjoot2/math2012/phy454.pdf',
                 @phy454 ) ;
}
elsif ( $doMathematica )
{
   if ( $latex )
   {
      my $filter ;

      if ( $doPhy454 )
      {
         $filter = "phy454/" ;
      }

      if ( $doPhy450 )
      {
         $filter = "phy450/" ;
      }

      if ( $doPhy485 )
      {
         $filter = "phy485/" ;
      }

      if ( $doClassicalMechanics )
      {
         $filter = "classicalmechanics/" ;
      }

      if ( $doPhy452 )
      {
         $filter = "phy452/" ;
      }

      mathematicaIndexLatex( $filter ) ;
   }
   else
   {
      mathematicaIndex() ;
   }
}
elsif ( $doMathematicaFtp )
{
   mathematicaFtp() ;
}
else
{
   dumpem( @All ) ;
}

exit ;

sub mathematicaFtp
{
   print "cd public_html\n" ;
   my %dirs = () ;

   foreach (@mathematica)
   {
      my $path = $_->{'path'} ;
      my $dirname = $path ;
      $dirname =~ s,/.*,, ;
      $dirs{$dirname}++ ;
   }

   foreach (keys %dirs)
   {
      print "mkdir $_\n" ;
   }

   print "cd blogit\n" ;
   print "lcd blogit\n" ;
   print "prompt off\n" ;

   foreach my $dirname (keys %dirs)
   {
      print "lcd ../$dirname\n" ;
      print "cd ../$dirname\n" ;
      print qq(mput *.nb\n) ;
      print qq(mput *.cdf\n) ;
      print qq(mput *.htm\n) ;
   }

#   foreach (@mathematica)
#   {
#      my $path = $_->{'path'} ;
#      my $filename = $path ;
#      $filename =~ s,.*/,, ;
#      my $dirname = $path ;
#      $dirname =~ s,/.*,, ;
#
#      #next unless ( $path =~ / / ) ;
#      #my $nSpacePath = $path ;
#      #$nSpacePath =~ s/ /_/g ;
#      #print qq(git mv "$path" $nSpacePath\n) ;
#
#      print "lcd ../$dirname\n" ;
#      print "cd ../$dirname\n" ;
#      print qq(put "$filename"\n) ;
#   }
}

sub mathematicaIndex
{
   print qq(
<html>
<body>
<title>
My Mathematica notebooks.
</title>

The <a href="http://www.wolfram.com/cdf-player/">Wolfram CDF player</a> can also be used to view a number of these notebooks after download.

<ul>
) ;

   foreach (@mathematica)
   {
      my $path = $_->{'path'} ;
      my $filename = $path ;
      $filename =~ s,.*/,, ;
      my $date = $_->{'DATE'} ;
      my $desc = $_->{'WHAT'} ;
      my ($width, $height) = ( $_->{'WIDTH'}, $_->{'HEIGHT'} ) ;

      unless (defined $width)
      {
         $width = 1000 ;
      }

      unless (defined $height)
      {
         $height = 1800 ;
      }

      my $pathWithoutSuffix = $path ;
      $pathWithoutSuffix =~ s/\.[^\.]+$// ;

      # CDF player doesn't open these from raw.github (although ../cdfEmbedExample.html did?)

      my $pathWithoutQualification = $path ;

      # for google sites page indexing these as links to github urls:
      my $genSitesMathematicaPages = 0 ;

      if ( $genSitesMathematicaPages )
      {
#         $path = "https://raw.github.com/peeterjoot/physicsplay/master/notes/$path" ;
         $path = "https://github.com/peeterjoot/physicsplay/raw/master/notes/$path" ;
      }

      # hack up the description to force html newlines.
      $desc =~ s/\n\n/<p>/gsm ;

      if ( $genSitesMathematicaPages )
      {
         print qq(   <li> $date
<a href="$path">$pathWithoutQualification</a>
<p>
$desc</li>\n) ;
      }
      else
      {
         print qq(   <li> $date
<p>
EMBEDDED:
<a href="$pathWithoutSuffix.htm">$pathWithoutSuffix</a>
<p>
DIRECT:
<a href="$path">$pathWithoutQualification</a>
<p>
$desc</li>\n) ;
      }

      # now generate a helper embedding page.

      open my $fh, ">$pathWithoutSuffix.htm" or die ;

    print $fh qq@
<html>
<body>
<title>
$pathWithoutSuffix
</title>

The <a href="http://www.wolfram.com/cdf-player/">Wolfram CDF player</a> browser plugin is required to view this notebook.

<p>
$desc

<p>
<object classid="clsid:612AB921-E294-41AA-8E98-87E7E057EF33" width="$width" height="$height" type="application/vnd.wolfram.cdf.text">
<param name="src" value="$filename">
<embed width="$width" height="$height" src="$filename" type="application/vnd.wolfram.cdf.text">
</object>

</body>
</html>
@ ;
#<script type="text/javascript" src="http://www.wolfram.com/cdf-player/plugin/v2.1/cdfplugin.js"></script>
#<script type="text/javascript">
#   var cdf = new cdfplugin() ;
#   cdf.embed('$filename', $width, $height) ;
#</script>

      close $fh ;
   }

   print "\n" .
         "</ul>\n" .
         "</body>\n" .
         "</html>\n" .
         "" ;
}

sub mathematicaIndexLatex
{
   my ($filter) = @_ ;

   my $urlpath = "https://raw.github.com/peeterjoot/physicsplay/master/notes/" ;

print "
%-------------------------------------------------------
These Mathematica notebooks, some just trivial ones used to generate figures, others more elaborate, and perhaps some even polished, can be found in

\\href{$urlpath}{$urlpath}.

Any of these that have been saved in cdf format, can be downloaded from the paths below to local files on your computer, then executed them using the free \\href{http://www.wolfram.com/cdf-player/}{Wolfram CDF player}.

\\begin{itemize}
" ;

   foreach ( @mathematica )
   {
      my $path = $_->{'path'} ;
      my $date = $_->{'DATE'} ;
      my $desc = $_->{'WHAT'} ;

      if ( $filter )
      {
         next unless ( $path =~ /$filter/ ) ;
      }

      my $fullpath = "https://raw.github.com/peeterjoot/physicsplay/master/notes/$path" ;

      my $label = $path ;
      $label =~ s,/,:,g ;

      print qq(\\item \\phantomsection \\label{path:$label} $date \\href{$fullpath}{$path}

$desc
) ;
   }

print "
\\end{itemize}
%-------------------------------------------------------
" ;
}

sub dumpem
{
   my @sorted = sort datesort @_ ;

   print "\\chapter{Chronological Index}\n\\label{chap:Chronology}\n\n\\begin{itemize}\n\n" ;
   foreach (@sorted)
   {
      my ($source, $title, $date, $ref, $what)
         = ( $_->{'SOURCE'},
             $_->{'TITLE'},
             $_->{'DATE'},
             $_->{'REF'},
             $_->{'WHAT'} ) ;

      $what = '' if ( !defined $what and $what ne '' ) ;

      print "\\item $date \\ref{chap:$ref} $title\n\n$what" ;
   }
   print "\\end{itemize}\n" ;
}

#sub testm
#{
#print $monthsOfYear{'July'} ;
#}

sub checkDate
{
   foreach (@miscphysics)
   {
      my $bdate = $_->{'DATE'} ;
      die "date parse: $bdate : $$a\n" unless ( $bdate =~ /(\S+)\s+(\d+)\s*,\s*(\d+)\s*/ ) ;
   }
}

sub datesort
{
   my ($adate, $bdate) = ( $$a{'DATE'}, $$b{'DATE'} ) ;

#   my ($asource, $atitle, $adate, $aref)
#         = ( $$a{'SOURCE'},
#             $$a{'TITLE'},
#             $$a{'DATE'},
#             $$a{'REF'} ) ;
#
#   my ($bsource, $btitle, $bdate, $bref)
#         = ( $$b{'SOURCE'},
#             $$b{'TITLE'},
#             $$b{'DATE'},
#             $$b{'REF'} ) ;

   die "date parse: $adate : $$a\n" unless ( $adate =~ /(\S+)\s+(\d+)\s*,\s*(\d+)\s*/ ) ;
   my ($amonth, $aday, $ayear) = ($1, $2, $3) ;

   die "date parse: $bdate : $$b\n" unless ( $bdate =~ /(\S+)\s+(\d+)\s*,\s*(\d+)\s*/ ) ;
   my ($bmonth, $bday, $byear) = ($1, $2, $3) ;

   my $rc = $ayear <=> $byear ;
   if ( !$rc )
   {
      $rc = $monthsOfYear{$amonth} <=> $monthsOfYear{$bmonth} ;

      if ( !$rc )
      {
         $rc = $aday <=> $bday ;
      }
   }

   return $rc ;
}

sub printBib
{
   foreach (sort { $a->{SOURCE} cmp $b->{SOURCE} } @_)
   {
      next unless ( exists $_->{'URL'} ) ;

      my $r = $_->{'REF'} ;
      $r = $_->{'BIBREF'} if ( exists $_->{'BIBREF'} ) ;

      print
"\@webpage{$r,
   author={Peeter Joot},
   title={{$_->{'TITLE'}}},
   url={$_->{'URL'}},
}

" ;
   }
}

sub printBookBib
{
   my ($title, $tag, $url, @rest) = @_ ;

   foreach ( sort { $a->{SOURCE} cmp $b->{SOURCE} } @rest )
   {
      my $r = $_->{'REF'} ;
      $r = $_->{'BIBREF'} if ( exists $_->{'BIBREF'} ) ;
      my $chapter = $_->{'TITLE'} ;

      print
"\@inbook{$tag:$r,
   author={Peeter Joot},
   title={{$title}},
   chapter={{$chapter}},
   url={$url},
}

" ;
   }
}

#sub printBib
#{
#   foreach (sort { $a->{SOURCE} cmp $b->{SOURCE} } @_)
#   {
#      my $r = $_->{'REF'} ;
#      my $s = $_->{'SOURCE'} ;
#      $r = $_->{'BIBREF'} if ( exists $_->{'BIBREF'} ) ;
#
#      print "s/chapcite{$s}/chapcite{$s}{$r}/\n" ;
#   }
#}

# for my web page listing.
sub printHistory
{
   my @sorted = reverse sort datesort @_ ;

   foreach (@sorted)
   {
      next unless ( exists $_->{'URL'} ) ;

      my ($date, $url, $title, $what) = ($_->{'DATE'}, $_->{'URL'}, $_->{'TITLE'}, $_->{WHAT} ) ;

      if ( defined $what )
      {
         if ( $what eq $title )
         {
            $what = '' ;
         }
      }
      else
      {
         $what = '' ;
      }

      print qq($date <a href="$url">$title</a><br>$what<br>\n\n) ;
   }
}