OSBRACKETS implemented and NuclearToolkit.jl removed
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ho_basis.jl
37
ho_basis.jl
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@ -1,5 +1,4 @@
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using SparseArrays
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using NuclearToolkit
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using SpecialFunctions
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include("helper.jl")
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@ -84,25 +83,45 @@ function sp_V_matrix(V_l, ns, ls; mask=trues(length(ns),length(ns)), dtype=Float
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end
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function Moshinsky_transform(Es, n1s, l1s, n2s, l2s, Λ)
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E_max = maximum(Es)
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j_max = 2 * E_max + 1
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l_max = j_max
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to = 0 # unused
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Emax = maximum(Es)
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dtri = NuclearToolkit.prep_dtri(l_max + 1);
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dcgm0 = NuclearToolkit.prep_dcgm0(l_max);
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d6j = nothing # NuclearToolkit.prep_d6j_int(E_max, j_max, to);
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LMIN = Λ
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LMAX = Λ
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CO = 1/sqrt(2)
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SI = 1/sqrt(2)
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BRACs = Vector{Array{Float64}}(undef, 2) # two arrays for both parities
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for parity in 1:2
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NQMAX = Emax - mod1(Emax, 2) + parity
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# dimensions BRAC(0:LMAX,0:(NQMAX-LMIN)/2,0:(NQMAX-LMIN)/2,0:(NQMAX-LMIN)/2,0:(NQMAX-LMIN)/2,0:LMAX,0:(NQMAX-LMIN)/2,LMIN:LMAX)
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BRACs[parity] = zeros(Float64, 1 + LMAX, 1 + (NQMAX - LMIN) ÷ 2, 1 + (NQMAX - LMIN) ÷ 2, 1 + (NQMAX - LMIN) ÷ 2, 1 + (NQMAX - LMIN) ÷ 2, 1 + LMAX, 1 + (NQMAX-LMIN) ÷ 2, 1 + LMAX-LMIN)
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@ccall "../OSBRACKETS/allosbrac.so".allosbrac_(NQMAX::Ref{Int32},LMIN::Ref{Int32},LMAX::Ref{Int32},CO::Ref{Float64},SI::Ref{Float64},BRACs[parity]::Ptr{Array{Float64}})::Cvoid
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end
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mat = spzeros(length(Es), length(Es))
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s = hcat(Es, n1s, l1s, n2s, l2s)
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for idx in CartesianIndices(mat)
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(i, j) = Tuple(idx)
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(Elhs, N, L, n, l) = s[i, :]
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(Erhs, n1, l1, n2, l2) = s[j, :]
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if Elhs == Erhs && triangle_ineq(L, l, Λ) && triangle_ineq(l1, l2, Λ)
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mat[i, j] = NuclearToolkit.HObracket_d6j(N, L, n, l, n1, l1, n2, l2, Λ, 1.0, dtri, dcgm0, d6j)
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parity = mod1(Elhs, 2)
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mat[i, j] = (-1)^(n1 + n2 + N + n) * pick_Moshinsky_brakcet(BRACs[parity], n1, l1, n2, l2, N, L, n, l, Λ)
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end
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end
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return mat
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end
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function pick_Moshinsky_brakcet(BRAC, n1′, l1′, n2′, l2′, n1, l1, n2, l2, Λ) # Efros notation -- don't confuse
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ϵ = (l1 + l2 - Λ) % 2
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NP = (l1′ - l2′ + Λ - ϵ) ÷ 2
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MP = (l1′ + l2′ - Λ - ϵ) ÷ 2
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N = (l1 - l2 + Λ - ϵ) ÷ 2
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M = (l1 + l2 - Λ - ϵ) ÷ 2
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# BRAC(NP,N1P,MP,N1,N2,N,M,L)
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return BRAC[1 + NP, 1 + n1′, 1 + MP, 1 + n1, 1 + n2, 1 + N, 1 + M, 1]
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end
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