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@doc """ |
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u_min_u_plus(elt::Type{<:Number}, particle_symmetry::Type{<:Sector}, spin_symmetry::Type{<:Sector}; slave_fermion::Bool = false) |
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u⁻u⁺(elt::Type{<:Number}, particle_symmetry::Type{<:Sector}, spin_symmetry::Type{<:Sector}; slave_fermion::Bool = false) |
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Return the Hermitian conjugate of `u_plus_u_min`, i.e. |
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``(e†_{1,↑}, e_{2,↑})† = -e_{1,↑}, e†_{2,↑}`` (note the extra minus sign). |
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It annihilates a spin-up electron at the first site and creates a spin-up electron at the second. |
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The only nonzero matrix element corresponds to `|0↑⟩ <-- |↑0⟩`. |
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""" u_min_u_plus |
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function u_min_u_plus(P::Type{<:Sector}, S::Type{<:Sector}; slave_fermion::Bool=false) |
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return u_min_u_plus(ComplexF64, P, S; slave_fermion) |
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end |
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function u_min_u_plus(elt::Type{<:Number}, particle_symmetry::Type{<:Sector}, |
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spin_symmetry::Type{<:Sector}; |
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slave_fermion::Bool=false) |
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return -copy(adjoint(u_plus_u_min(elt, particle_symmetry, spin_symmetry; slave_fermion))) |
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end |
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const u⁻u⁺ = u_min_u_plus |
I see that in #15 u_min_u_plus is defined as minus the adjoint of u_plus_u_min. But you forgot to change docstrings. For example, in the above case, we should say
Return `e_{1,↑}, e†_{2,↑}`, which is the negative of the Hermitian conjugate of `u_plus_u_min`.
This docstring update should also be made in several places, including tjoperators.
