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Bugs corrected, Zeuthen flow working
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4 changed files with 61 additions and 34 deletions
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@ -111,7 +111,7 @@ function projalg(a::SU3{T}) where T <: AbstractFloat
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sr3ov2::T = 0.866025403784438646763723170752
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ditr = ( imag(a.u11) + imag(a.u22) - 2.0*imag(a.u11*a.u22 - a.u12*a.u21) )/3.0
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ditr = ( imag(a.u11) + imag(a.u22) + 2.0*imag(a.u11*a.u22 - a.u12*a.u21) )/3.0
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m12 = (a.u12 - conj(a.u21))/2.0
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m13 = (a.u13 - (a.u12*a.u23 - a.u13*a.u22) )/2.0
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m23 = (a.u23 - (a.u13*a.u21 - a.u11*a.u23) )/2.0
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@ -122,21 +122,6 @@ function projalg(a::SU3{T}) where T <: AbstractFloat
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sr3ov2*(ditr))
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end
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function projalg(a::M3x3{T}) where T <: AbstractFloat
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sr3ov2::T = 0.866025403784438646763723170752
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ditr = ( imag(a.u11) + imag(a.u22) + 2.0*imag(a.u33) )/3.0
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m12 = (a.u12 - conj(a.u21))/2.0
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m13 = (a.u13 - conj(a.u31))/2.0
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m23 = (a.u23 - conj(a.u32))/2.0
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return SU3alg{T}(imag( m12 ), imag( m13 ), imag( m23 ),
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real( m12 ), real( m13 ), real( m23 ),
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(imag(a.u11)-imag(a.u22))/2.0,
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sr3ov2*(ditr))
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end
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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
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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
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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)
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@ -270,7 +255,20 @@ Base.:-(b::M3x3{T}) where T <: AbstractFloat = M3x3{T}(-b.u11, -b.u12
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Base.:+(b::M3x3{T}) where T <: AbstractFloat = M3x3{T}(b.u11, b.u12, bu13,
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b.u21, b.u22, bu23,
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b.u31, b.u32, bu33)
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function projalg(a::M3x3{T}) where T <: AbstractFloat
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sr3ov2::T = 0.866025403784438646763723170752
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ditr = ( imag(a.u11) + imag(a.u22) + 2.0*imag(a.u33) )/3.0
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m12 = (a.u12 - conj(a.u21))/2.0
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m13 = (a.u13 - conj(a.u31))/2.0
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m23 = (a.u23 - conj(a.u32))/2.0
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return SU3alg{T}(imag( m12 ), imag( m13 ), imag( m23 ),
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real( m12 ), real( m13 ), real( m23 ),
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(imag(a.u11)-imag(a.u22))/2.0,
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sr3ov2*(ditr))
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end
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function alg2mat(a::SU3alg{T}) where T <: AbstractFloat
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@ -295,7 +293,7 @@ end
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Base.:*(a::SU3alg,b::SU3) = alg2mat(a)*b
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Base.:*(a::SU3,b::SU3alg) = a*alg2mat(b)
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Base.:/(a::SU3alg,b::SU3) = alg2mat(a)/b
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Base.\:(a::SU3,b::SU3alg) = a\alg2mat(b)
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Base.:\(a::SU3,b::SU3alg) = a\alg2mat(b)
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@inline function exp_iter(dch::Complex{T}, tch::T) where T <: AbstractFloat
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