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BSE almost done

This commit is contained in:
Pierre-Francois Loos 2020-06-01 22:01:53 +02:00
parent 29294ef5a4
commit 434d5e9c52

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subroutine BSE2_B_matrix_dynamic(singlet_manifold,triplet_manifold,eta,nBas,nC,nO,nV,nR,nS,lambda, &
ERI,eHF,eGF,OmBSE,B_dyn,ZB_dyn)
! Compute the anti-resonant part of the dynamic BSE2 matrix
implicit none
include 'parameters.h'
! Input variables
logical,intent(in) :: singlet_manifold
logical,intent(in) :: triplet_manifold
integer,intent(in) :: nBas,nC,nO,nV,nR,nS
double precision,intent(in) :: eta
double precision,intent(in) :: lambda
double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas)
double precision,intent(in) :: eHF(nBas)
double precision,intent(in) :: eGF(nBas)
double precision,intent(in) :: OmBSE
! Local variables
double precision :: dem,num
integer :: i,j,k,l
integer :: a,b,c,d
integer :: ia,jb
! Output variables
double precision,intent(out) :: B_dyn(nS,nS)
double precision,intent(out) :: ZB_dyn(nS,nS)
! Initialization
B_dyn(:,:) = 0d0
ZB_dyn(:,:) = 0d0
! Second-order correlation kernel for the block A of the singlet manifold
if(singlet_manifold) then
ia = 0
do i=nC+1,nO
do a=nO+1,nBas-nR
ia = ia + 1
jb = 0
do j=nC+1,nO
do b=nO+1,nBas-nR
jb = jb + 1
do k=nC+1,nO
do c=nO+1,nBas-nR
dem = OmBSE - eGF(a) + eGF(k) - eGF(c) + eGF(j)
num = 2d0*ERI(b,k,i,c)*ERI(a,c,j,k) - ERI(b,k,i,c)*ERI(a,c,k,j) &
- ERI(b,k,c,i)*ERI(a,c,j,k) + 2d0*ERI(b,k,c,i)*ERI(a,c,k,j)
B_dyn(ia,jb) = B_dyn(ia,jb) - num*dem/(dem**2 + eta**2)
ZB_dyn(ia,jb) = ZB_dyn(ia,jb) + num*(dem**2 - eta**2)/(dem**2 + eta**2)**2
dem = OmBSE + eGF(i) - eGF(c) + eGF(k) - eGF(b)
num = 2d0*ERI(b,c,i,k)*ERI(a,k,j,c) - ERI(b,c,i,k)*ERI(a,k,c,j) &
- ERI(b,c,k,i)*ERI(a,k,j,c) + 2d0*ERI(b,c,k,i)*ERI(a,k,c,j)
B_dyn(ia,jb) = B_dyn(ia,jb) - num*dem/(dem**2 + eta**2)
ZB_dyn(ia,jb) = ZB_dyn(ia,jb) + num*(dem**2 - eta**2)/(dem**2 + eta**2)**2
end do
end do
do c=nO+1,nBas-nR
do d=nO+1,nBas-nR
dem = OmBSE + eGF(i) + eGF(j) - eGF(c) - eGF(d)
num = 2d0*ERI(a,b,c,d)*ERI(c,d,i,j) - ERI(a,b,c,d)*ERI(c,d,j,i) &
- ERI(a,b,d,c)*ERI(c,d,i,j) + 2d0*ERI(a,b,d,c)*ERI(c,d,j,i)
B_dyn(ia,jb) = B_dyn(ia,jb) + 0.5d0*num*dem/(dem**2 + eta**2)
ZB_dyn(ia,jb) = ZB_dyn(ia,jb) - 0.5d0*num*(dem**2 - eta**2)/(dem**2 + eta**2)**2
end do
end do
do k=nC+1,nO
do l=nC+1,nO
dem = OmBSE - eGF(a) - eGF(b) + eGF(k) + eGF(l)
num = 2d0*ERI(a,b,k,l)*ERI(k,l,i,j) - ERI(a,b,k,l)*ERI(k,l,j,i) &
- ERI(a,b,l,k)*ERI(k,l,i,j) + 2d0*ERI(a,b,l,k)*ERI(k,l,j,i)
B_dyn(ia,jb) = B_dyn(ia,jb) + 0.5d0*num*dem/(dem**2 + eta**2)
ZB_dyn(ia,jb) = ZB_dyn(ia,jb) - 0.5d0*num*(dem**2 - eta**2)/(dem**2 + eta**2)**2
end do
end do
end do
end do
end do
end do
end if
! Second-order correlation kernel for the block A of the triplet manifold
if(triplet_manifold) then
ia = 0
do i=nC+1,nO
do a=nO+1,nBas-nR
ia = ia + 1
jb = 0
do j=nC+1,nO
do b=nO+1,nBas-nR
jb = jb + 1
do k=nC+1,nO
do c=nO+1,nBas-nR
dem = OmBSE - eGF(a) + eGF(k) - eGF(c) + eGF(j)
num = 2d0*ERI(b,k,i,c)*ERI(a,c,j,k) - ERI(b,k,i,c)*ERI(a,c,k,j) - ERI(b,k,c,i)*ERI(a,c,j,k)
B_dyn(ia,jb) = B_dyn(ia,jb) - num*dem/(dem**2 + eta**2)
ZB_dyn(ia,jb) = ZB_dyn(ia,jb) + num*(dem**2 - eta**2)/(dem**2 + eta**2)**2
dem = OmBSE + eGF(i) - eGF(c) + eGF(k) - eGF(b)
num = 2d0*ERI(b,c,i,k)*ERI(a,k,j,c) - ERI(b,c,i,k)*ERI(a,k,c,j) - ERI(b,c,k,i)*ERI(a,k,j,c)
B_dyn(ia,jb) = B_dyn(ia,jb) - num*dem/(dem**2 + eta**2)
ZB_dyn(ia,jb) = ZB_dyn(ia,jb) + num*(dem**2 - eta**2)/(dem**2 + eta**2)**2
end do
end do
do c=nO+1,nBas-nR
do d=nO+1,nBas-nR
dem = OmBSE + eGF(i) + eGF(j) - eGF(c) - eGF(d)
num = ERI(a,b,c,d)*ERI(c,d,j,i) + ERI(a,b,d,c)*ERI(c,d,i,j)
B_dyn(ia,jb) = B_dyn(ia,jb) - 0.5d0*num*dem/(dem**2 + eta**2)
ZB_dyn(ia,jb) = ZB_dyn(ia,jb) + 0.5d0*num*(dem**2 - eta**2)/(dem**2 + eta**2)**2
end do
end do
do k=nC+1,nO
do l=nC+1,nO
dem = OmBSE - eGF(a) - eGF(b) + eGF(k) + eGF(l)
num = ERI(a,b,k,l)*ERI(k,l,j,i) + ERI(a,b,l,k)*ERI(k,l,i,j)
B_dyn(ia,jb) = B_dyn(ia,jb) - 0.5d0*num*dem/(dem**2 + eta**2)
ZB_dyn(ia,jb) = ZB_dyn(ia,jb) + 0.5d0*num*(dem**2 - eta**2)/(dem**2 + eta**2)**2
end do
end do
end do
end do
end do
end do
end if
end subroutine BSE2_B_matrix_dynamic