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Added project to algebra with multiplication for SU(2)

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This commit is contained in:
Alberto Ramos 2021-11-03 14:15:03 +01:00
parent 8b90c286a4
commit 23930e14cf
2 changed files with 1 additions and 2 deletions
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1
src/Groups/AlgebraSU2.jl
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@ -12,6 +12,7 @@
SU2alg(x::T) where T <: AbstractFloat = SU2alg{T}(x,0.0,0.0) SU2alg(x::T) where T <: AbstractFloat = SU2alg{T}(x,0.0,0.0)
SU2alg(v::Vector{T}) where T <: AbstractFloat = SU2alg{T}(v[1],v[2],v[3]) SU2alg(v::Vector{T}) where T <: AbstractFloat = SU2alg{T}(v[1],v[2],v[3])
projalg(g::SU2{T}) where T <: AbstractFloat = SU2alg{T}(imag(g.t2), real(g.t2), imag(g.t1)) projalg(g::SU2{T}) where T <: AbstractFloat = SU2alg{T}(imag(g.t2), real(g.t2), imag(g.t1))
projalg(z::Complex{T}, g::SU2{T}) where T <: AbstractFloat = SU2alg{T}(imag(z*g.t2), real(z*g.t2), imag(z*g.t1))
dot(a::SU2alg{T}, b::SU2alg{T}) where T <: AbstractFloat = a.t1*b.t1 + a.t2*b.t2 + a.t3*b.t3 dot(a::SU2alg{T}, b::SU2alg{T}) where T <: AbstractFloat = a.t1*b.t1 + a.t2*b.t2 + a.t3*b.t3
norm(a::SU2alg{T}) where T <: AbstractFloat = sqrt(a.t1^2 + a.t2^2 + a.t3^2) norm(a::SU2alg{T}) where T <: AbstractFloat = sqrt(a.t1^2 + a.t2^2 + a.t3^2)
norm2(a::SU2alg{T}) where T <: AbstractFloat = a.t1^2 + a.t2^2 + a.t3^2 norm2(a::SU2alg{T}) where T <: AbstractFloat = a.t1^2 + a.t2^2 + a.t3^2

2
src/Groups/AlgebraSU3.jl
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@ -46,8 +46,6 @@ function projalg(z::Complex{T}, a::SU3{T}) where T <: AbstractFloat
sr3ov2*(ditr)) sr3ov2*(ditr))
end end
projalg(z::Int, a::SU3{T}) where T <: AbstractFloat = projalg(a::SU3{T})
dot(a::SU3alg{T},b::SU3alg{T}) where T <: AbstractFloat = a.t1*b.t1 + a.t2*b.t2 + a.t3*b.t3 + a.t4*b.t4 + a.t5*b.t5 + a.t6*b.t6 + a.t7*b.t7 + a.t8*b.t8 dot(a::SU3alg{T},b::SU3alg{T}) where T <: AbstractFloat = a.t1*b.t1 + a.t2*b.t2 + a.t3*b.t3 + a.t4*b.t4 + a.t5*b.t5 + a.t6*b.t6 + a.t7*b.t7 + a.t8*b.t8
norm2(a::SU3alg{T}) where T <: AbstractFloat = a.t1^2 + a.t2^2 + a.t3^2 + a.t4^2 + a.t5^2 + a.t6^2 + a.t7^2 + a.t8^2 norm2(a::SU3alg{T}) where T <: AbstractFloat = a.t1^2 + a.t2^2 + a.t3^2 + a.t4^2 + a.t5^2 + a.t6^2 + a.t7^2 + a.t8^2
norm(a::SU3alg{T}) where T <: AbstractFloat = sqrt(a.t1^2 + a.t2^2 + a.t3^2 + a.t4^2 + a.t5^2 + a.t6^2 + a.t7^2 + a.t8^2) norm(a::SU3alg{T}) where T <: AbstractFloat = sqrt(a.t1^2 + a.t2^2 + a.t3^2 + a.t4^2 + a.t5^2 + a.t6^2 + a.t7^2 + a.t8^2)