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Parity symmetry reduction

This commit is contained in:
Nuwan Yapa 2024-04-19 18:25:56 -04:00
parent 4fa01f80e1
commit e3b06b8bcd
1 changed files with 7 additions and 12 deletions
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19
ho_basis.jl
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@ -35,7 +35,7 @@ function get_2p_basis(E_max)
l2s = Int[] l2s = Int[]
# E = 2*n1 + l1 + 2*n2 + l2 # E = 2*n1 + l1 + 2*n2 + l2
for E in 0 : E_max for E in E_max : -2 : 0 # same parity states only
for n1 in 0 : E ÷ 2 for n1 in 0 : E ÷ 2
for n2 in 0 : (E - 2*n1) ÷ 2 for n2 in 0 : (E - 2*n1) ÷ 2
for l1 in 0 : (E - 2*n1 - 2*n2) for l1 in 0 : (E - 2*n1 - 2*n2)
@ -83,21 +83,17 @@ function sp_V_matrix(V_l, ns, ls; mask=trues(length(ns),length(ns)), dtype=Float
end end
function Moshinsky_transform(Es, n1s, l1s, n2s, l2s, Λ) function Moshinsky_transform(Es, n1s, l1s, n2s, l2s, Λ)
Emax = maximum(Es) NQMAX = maximum(Es)
@assert all(mod.(Es, 2) .== mod(NQMAX, 2)) "Can only admit basis states with same parity"
LMIN = Λ LMIN = Λ
LMAX = Λ LMAX = Λ
CO = 1/sqrt(2) CO = 1/sqrt(2)
SI = 1/sqrt(2) SI = 1/sqrt(2)
BRACs = Vector{Array{Float64}}(undef, 2) # two arrays for both parities # 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)
BRAC = 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)
for parity in 1:2 @ccall "../OSBRACKETS/allosbrac.so".allosbrac_(NQMAX::Ref{Int32},LMIN::Ref{Int32},LMAX::Ref{Int32},CO::Ref{Float64},SI::Ref{Float64},BRAC::Ptr{Array{Float64}})::Cvoid
NQMAX = Emax - mod1(Emax, 2) + parity
# 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)
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)
@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
end
mat = zeros(length(Es), length(Es)) mat = zeros(length(Es), length(Es))
@ -107,8 +103,7 @@ function Moshinsky_transform(Es, n1s, l1s, n2s, l2s, Λ)
(Elhs, N, L, n, l) = s[i, :] (Elhs, N, L, n, l) = s[i, :]
(Erhs, n1, l1, n2, l2) = s[j, :] (Erhs, n1, l1, n2, l2) = s[j, :]
if Elhs == Erhs && triangle_ineq(L, l, Λ) && triangle_ineq(l1, l2, Λ) if Elhs == Erhs && triangle_ineq(L, l, Λ) && triangle_ineq(l1, l2, Λ)
parity = mod1(Elhs, 2) mat[i, j] = (-1)^(n1 + n2 + N + n) * pick_Moshinsky_brakcet(BRAC, n1, l1, n2, l2, N, L, n, l, Λ)
mat[i, j] = (-1)^(n1 + n2 + N + n) * pick_Moshinsky_brakcet(BRACs[parity], n1, l1, n2, l2, N, L, n, l, Λ)
end end
end end