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Physics Textbooks


Stanford University Lecture Notes

A - Introduction and MR Review

B - Quantum Mechanics

C - Spin Physics

D - Pulse Sequences Examples

E - In Vivo Spectroscopy

F - Special Topics


Lecture Slides


 
Planets
Rings
Moons
Exploration
(outline)
Hypothetical
objects
Lists
 
 
Small
Solar
System
bodies
Formation
and
evolution
 




Harvard Lecture Notes


STATISTICAL MECHANICS


WAVES


David Tong: Lectures on Dynamics and Relativity

PDF

  • Newtonian Mechanics:   PDF
  • Forces:   PDF
  • Interlude: Dimensional Analysis:   PDF
  • Central Forces:   PDF
  • Systems of Particles:   PDF
  • Non-Inertial Frames:   PDF
  • Special Relativity:   PDF

 

Problem Sheets

  • Problem Sheet 1:  PDF    Single Particle Mechanics
  • Problem Sheet 2:  PDF    Central Forces and Orbits
  • Problem Sheet 3:  PDF    Systems of Particles and Spinning Things
  • Problem Sheet 4:  PDF    Special Relativity

Joseph Minahan's Lecture Notes


David Tong: Lectures on Classical Dynamics

 PDF

  • Newtonian Mechanics:   PDF
  • The Lagrangian Formulation:   PDF
  • The Motion of Rigid Bodies:   PDF
  • The Hamiltonian Formulation:   PDF

 

Problem Sheets

  • Problem Sheet 1:  PDF    Lagrangian Formulation
  • Problem Sheet 2:  PDF    Normal Modes, Inertia Tensors and Rotations
  • Problem Sheet 3:  PDF    Euler's Equations and Euler Angles
  • Problem Sheet 4:  PDF    Hamiltonian Formulation

David Tong: Lectures on Electromagnetism

 PDF

  • Div, Grad and Curl:   PDF
  • Introduction and Electrostatics:   PDF
  • Magnetostatics:   PDF
  • Electrodynamics:   PDF
  • Electromagnetism and Relativity:   PDF
  • Electromagnetic Radiation:   PDF
  • Electromagnetism in Matter:   PDF

Problem Sheets

  • Problem Sheet 1:  PDF    Electric Fields
  • Problem Sheet 2:  PDF    Magnetic Fields
  • Problem Sheet 3:  PDF    Electromagnetic Waves and Relativity

David Tong: Lectures on Topics in Quantum Mechanics

 PDF

  •  Discrete Symmetries:   PDF
  •  Approximation Methods:   PDF
  •  Atoms:   PDF
  • Atoms in Electromagnetic Fields:   PDF
  • Quantum Foundations:   PDF
  • Scattering Theory:   PDF

 Problem Sheets

  • Problem Sheet 1:  PDF    Scattering
  • Problem Sheet 2:  PDF    Variational Method, 1d Band Structure
  • Problem Sheet 3:  PDF    3d Band Structure; Fermi Surfaces   
  • Problem Sheet 4:  PDF    Phonons; Particles in a Magnetic Field
  • Notes on Spherical Bessel Functions: PDF

Lecture Description Problem sets
  Preface  
Lec 1 Foundations of quantum physics  
Lec 2 Quantum mechanics in one dimension  
Lec 3 Operator methods in quantum mechanics  
Lec 4 Quantum mechanics in more than one dimension  
Lec 5-6 Motion of a charged particle in a magnetic field  
Lec 6-7 Quantum mechanical spin and addition of angular momenta Problem set I Answers
Lec 8-10 Approximation methods for stationary states (perturbation theory, variational method and WKB)  
Lec 11 Identical particles Problem set II Answers
Lec 12-14 Atomic structure
Lec 15 From molecules to solids Problem set III Answers
Lec 16-17 Quantum field theory: from phonons to photons  
Lec 18 Time-dependent perturbation theory  
Lec 19 Radiative transitions and quantum optics  
Lec 20-21 Scattering theory  
Lec 22-24 Relativistic quantum mechanics Problem set IV Answers

  • Notes 1: The Mathematical Formalism of Quantum Mechanics,  pdf format (complete).
  • Notes 2: The Postulates of Quantum Mechanics,  pdf format (complete).
  • Notes 3: The Density Operator,  pdf format (complete).
  • Notes 4: Spatial Degrees of Freedom,  pdf format (complete).
  • Notes 5: Time Evolution in Quantum Mechanics,  pdf format (complete).
  • Notes 6: Topics in One-Dimensional Wave Mechanics,  pdf format (complete).
  • Notes 7: The WKB Method,  pdf format (complete).
  • Notes 8: Harmonic Oscillators and Coherent States,  pdf format (complete).
  • Notes 9: The Propagator and the Path Integral,  pdf format (complete).
  • Notes 10: Charged Particles in Magnetic Fields,  pdf format (complete).
  • Notes 11: Rotations in Ordinary Space,  pdf format (complete).
  • Notes 12: Rotations in Quantum Mechanics, and Rotations of Spin 1/2 Systems,  pdf format (complete).
  • Notes 13: Representations of the Angular Momentum Operators and Rotations,  pdf format (complete).
  • Notes 14: Spins in Magnetic Fields,  pdf format (complete).
  • Notes 15: Orbital Angular Momentum and Spherical Harmonics,  pdf format (complete).
  • Notes 16: Central Force Motion,  pdf format (complete).
  • Notes 17: Coupling of Angular Momenta,  pdf format (complete).
  • Notes 18: Irreducible Tensor Operators and the Wigner-Eckart Theorem,  pdf format (complete).
  • Notes 19: Parity,  pdf format (complete).
  • Notes 20: Time Reversal,  pdf format (complete).
  • Notes 21: Bound-State Perturbation Theory,  pdf format (complete).
  • Notes 22: The Stark Effect in Hydrogen and Alkali Atoms,  pdf format (complete).
  • Notes 23: Fine Structure in Hydrogen and Alkali Atoms,  pdf format (complete).
  • Notes 24: The Zeeman Effect in Hydrogen and Alkali Atoms,  pdf format (complete).
  • Notes 25: Hyperfine Structure in Atoms,  pdf format (complete).
  • Notes 26: The Variational Method,  pdf format (complete).
  • Notes 27: Identical Particles,  pdf format (complete).
  • Notes 28: Helium and Helium-like Atoms,  pdf format (complete).
  • Notes 29: The Thomas-Fermi Model,  pdf format (complete).
  • Notes 30: The Hartree-Fock Method in Atoms,  pdf format (complete).
  • Notes 31: Elements of Atomic Structure in Multi-Electron Atoms,  pdf format (complete).
  • Notes 32: Time-Dependent Perturbation Theory,  pdf format (complete).
  • Notes 33: The Photoelectric Effect,  pdf format (complete).
  • Notes 34: Introduction to Scattering Theory and Scattering from Central Force Potentials,  pdf format (complete).
  • Notes 35: Green's Functions in Quantum Mechanics,  pdf format (complete).
  • Notes 36: The Lippmann-Schwinger Equation,  pdf format (complete).
  • Notes 37: Adiabatic Invariance, the Geometric Phase, and the Born-Oppenheimer Approximation,  pdf format (complete).
  • Notes 38: The Classical Electromagnetic Field Hamiltonian,  pdf format (complete).
  • Notes 39: Lagrangian and Hamiltonian Formulation of the Classical Electromagnetic Field,  pdf format (complete).
  • Notes 40: The Quantized Electromagnetic Field,  pdf format (complete).
  • Notes 41: Interaction of Radiation with Matter,  pdf format (complete).
  • Notes 42: Scattering of Radiation,  pdf format (incomplete).
  • Notes 43: The Klein-Gordon Equation ,  pdf format (complete).
  • Notes 44: Introduction to the Dirac Equation,  pdf format (incomplete).
  • Notes 45: Lorentz Transformations in Special Relativity,  pdf format (incomplete).
  • Notes 46: Covariance of the Dirac Equation,  pdf format (incomplete).
  • Appendix A: Gaussian, SI and Other Systems of Units in Electromagnetic Theory,  pdf format.
  • Appendix B: Classical Mechanics,  pdf format.
  • Appendix C: Gaussian Integrals,  pdf format.
  • Appendix D: Vector Calculus ,  pdf format.
  • Appendix E: Tensor Analysis ,  pdf format.

David Tong: Lectures on Solid State Physics

 PDF

  • Particles in Magnetic Fields:   PDF
  • Band Structure:   PDF
  • Electron Dynamics in Solids:   PDF
  • Phonons:   PDF

Problem Sheets

  • Problem Sheet 1: PDF    Scattering
  • Problem Sheet 2: PDF    Variational Method, 1d Band Structure
  • Problem Sheet 3: PDF    3d Band Structure; Fermi Surfaces   
  • Problem Sheet 4: PDF    Phonons; Particles in a Magnetic Field

Exercises

David Tong: Lectures on the Quantum Hall Effect

PDF

  • The Basics:   PDF
  • The Integer Quantum Hall Effect:   PDF
  • The Fractional Quantum Hall Effect:   PDF
  • Non-Abelian Quantum Hall States:   PDF
  • Chern-Simons Theories:   PDF
  • Edge Modes:   PDF

 David Tong: Lectures on Statistical Physics

PDF

  • Fundamentals of Statistical Mechanics:   PDF
  • Classical Gases:   PDF
  • Quantum Gases:   PDF
  • Classical Thermodynamics:   PDF
  • Phase Transitions:   PDF

 

Problem Sheets

  • Problem Sheet 1:  PDF    Ensembles   
  • Problem Sheet 2: PDF    Classical and Quantum Gases   
  • Problem Sheet 3: PDF    Bosons and Fermions   
  • Problem Sheet 4: PDF    Thermodynamics and Phase Transitions




David Tong: Lectures on Kinetic Theory

PDF

  • Things Bumping Into Other Things:   PDF
  • Kinetic Theory:   PDF
  • Stochastic Processes:   PDF
  • Linear Response:   PDF

David Tong: Lectures on Statistical Field Theory

 PDF

  • From Spins to Fields:   PDF
  • My First Path Integral:   PDF
  • The Renormalisation Group:   PDF
  • Continuous Symmetry:   PDF

Problem Sheets

  • Problem Sheet 1:  PDF    Mean Field Theory
  • Problem Sheet 2:  PDF    Mostly Scaling
  • Problem Sheet 3:  PDF    RG

   Nat. Sci. Maths III (Part IA):
                linear algebra :  PDF.
                PDE and series :  PDF.
            (These notes are from the course in 2006).

        Quantum Physics (Part IIA) :  PDF.
            (These notes are from the course in 2004).

        Statistical Physics (Part IIB) :  PDF
            (These notes are from the course in 2005).

        Applications of Quantum Mechanics (Part II, D course) : PDF
            (These notes are for the course in Lent 2012 and may be updated from time to time).
            Pictures of Brillouin zones: (PDF)

        Principles of Quantum Mechanics (2014 Part II, D course) : PDF
           

        Statistical Field Theory (Part III) : PDF
            Book list for this course as separate document:  PDF
            Examples-1: (PDF)     Draft answers: (PDF)
            Examples-2: (PDF)     Draft answers: (PDF)
            Examples-3: (PDF)     Draft answers: (PDF)
           


David Tong: Lectures on Quantum Field Theory

PDF      

  • Preliminaries:  PDF
  • Classical Field Theory:  PDF
  • Canonical Quantization:   PDF
  • Interacting Fields:  PDF
  • The Dirac Equation:   PDF
  • Quantizing the Dirac Field:  PDF
  • Quantum Electrodynamics:  PDF

Problem Sheets

  • Problem Sheet 1: PDF    Classical Field Theory
  • Problem Sheet 2: PDF    Quantizing the Scalar Field
  • Problem Sheet 3: PDF    The Dirac Equation
  • Problem Sheet 4:  PDF    Scattering Amplitudes

David Tong: Lectures on Gauge Theory

PDF

  • Topics in Electromagnetism:   PDF
  • Yang-Mills Theory:   PDF
  • Anomalies:   PDF
  • Lattice Gauge Theory:   PDF
  • Chiral Symmetry Breaking:   PDF
  • Large N:   PDF
  • Quantum Field Theory in Two Dimensions:   PDF
  • Quantum Field Theory in Three Dimensions:   PDF


David Tong: TASI Lectures on Solitons

PDF

  • Instantons:  PDF
  • Monopoles: PDF
  • Vortices: PDF
  • Domain Walls: PDF

David Tong: Lectures on General Relativity

PDF

  • Geodesics:   PDF
  • Introducing Differential Geometry:   PDF
  • Introducing Riemannian Geometry:   PDF
  • The Einstein Equations:   PDF
  • When Gravity is Weak:   PDF
  • Black Holes:   PDF

 

Problem Sheets

  • Problem Sheet 1:   PDF    Differential Geometry
  • Problem Sheet 2:   PDF    Riemannian Geometry
  • Problem Sheet 3:   PDF    Gravity
  • Problem Sheet 4:   PDF    Linearised Gravity

David Tong: Lectures on Cosmology

PDF

 

  • The Expanding Universe:   PDF
  • The Hot Universe:   PDF
  • Structure Formation:   PDF

 

 Problem Sheets

  • Problem Sheet 1:   PDF    The Expanding Universe
  • Problem Sheet 2:   PDF    The Accelerating Universe
  • Problem Sheet 3:   PDF    The Hot Universe   
  • Problem Sheet 4:   PDF    More Hotness, and Structure Formation


David Tong: Concepts in Theoretical Physics


David Tong: Lectures on String Theory

 PDF

  • Introduction:  PDF
  • The Classical String: PDF
  • The Quantum String:  PDF
  • Open Strings and D-Branes:  PDF
  • Introducing Conformal Field Theory:  PDF
  • Path Integrals and Ghosts:  PDF
  • Scattering Amplitudes:  PDF
  • Low Energy Effective Actions: PDF
  • Compactification and T-Duality:  PDF

 Problem Sheets

  • Problem Sheet 1:  PDF    Classical and Quantum Strings
  • Problem Sheet 2:  PDF    Conformal Field Theory
  • Problem Sheet 3:  PDF    Mostly Scattering Amplitudes
  • Problem Sheet 4:   PDF    Background Fields

 Richard Louie's Physics lectures notes 


Displacement and Average Velocity  Physics Lecture Notes #1
Position - Time Graphs Physics Lecture Notes #2
Velocity - Time Graphs  & Acceleration Physics Lecture Notes #3
Calculating Distance from Initial & Final Velocity Physics Lecture Notes #4
Calculation of Distance from Acceleration Physics Lecture Notes #5
Falling Objects  Physics Lecture Notes #6
Drawing Vector Diagrams  Physics Lecture Notes #7
Adding Perpendicular Vectors   Physics Lecture Notes #8
Adding Diagonal Vectors   Physics Lecture Notes #9
Horizontal Projectile Motion   Physics Lecture Notes #10
Projectiles Launched at an Angle, Part 1  Physics Lecture Notes #11
Projectiles Launched at an Angle, Part 2  Physics Lecture Notes #12

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