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added documentation for the two-rdm

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This commit is contained in:
Emmanuel Giner 2019-06-29 17:29:32 +02:00
parent 78fe995f55
commit 57eabff675
8 changed files with 168 additions and 41 deletions
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8
src/casscf/densities.irp.f
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@ -42,7 +42,7 @@ BEGIN_PROVIDER [real*8, P0tuvx, (n_act_orb,n_act_orb,n_act_orb,n_act_orb) ]
integer(bit_kind), dimension(N_int,2) :: det_mu_ex2, det_mu_ex21, det_mu_ex22
if (bavard) then
write(6,*) ' providing density matrix P0'
write(6,*) ' providing the 2 body RDM on the active part'
endif
P0tuvx= 0.d0
@ -55,11 +55,7 @@ BEGIN_PROVIDER [real*8, P0tuvx, (n_act_orb,n_act_orb,n_act_orb,n_act_orb) ]
uu = list_act(u)
do t = 1, n_act_orb
tt = list_act(t)
P0tuvx(t,u,v,x) = &
state_average_weight(istate) * &
( two_rdm_alpha_beta_mo (tt,uu,vv,xx,istate) + &
two_rdm_alpha_alpha_mo(tt,uu,vv,xx,istate) + &
two_rdm_beta_beta_mo (tt,uu,vv,xx,istate) )
P0tuvx(t,u,v,x) = act_two_rdm_spin_trace_mo(t,v,u,x)
enddo
enddo
enddo

14
src/casscf/get_energy.irp.f
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@ -1,5 +1,10 @@
program print_2rdm
implicit none
BEGIN_DOC
! get the active part of the bielectronic energy on a given wave function.
!
! useful to test the active part of the spin trace 2 rdms
END_DOC
read_wf = .True.
touch read_wf
call routine
@ -23,18 +28,9 @@ subroutine routine
i = list_act(ii)
integral = get_two_e_integral(i,j,k,l,mo_integrals_map)
accu(1) += act_two_rdm_spin_trace_mo(ii,jj,kk,ll) * integral
!if(dabs(act_two_rdm_spin_trace_mo(ii,jj,kk,ll)).gt.thr)then
!print*,'',ii,jj,kk,ll,act_two_rdm_spin_trace_mo(ii,jj,kk,ll)*integral
!print*,'accu',accu(1)
!endif
enddo
enddo
enddo
enddo
print*,'accu = ',accu(1)
print*,'psi_energy_two_e = ',psi_energy_two_e
!double precision :: hij
!call i_H_j_double_alpha_beta(psi_det(1,1,1),psi_det(1,1,2),N_int,hij)
!print*,'hij * 2',hij * psi_coef(1,1) * psi_coef(2,1) * 2.d0
!print*,'psi diag = ',psi_energy_two_e - hij * psi_coef(1,1) * psi_coef(2,1) * 2.d0
end

22
src/two_body_rdm/ab_only_routines.irp.f
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@ -1,9 +1,9 @@
subroutine two_rdm_dm_nstates_openmp(big_array,dim1,dim2,dim3,dim4,u_0,N_st,sze)
subroutine two_rdm_ab_nstates_openmp(big_array,dim1,dim2,dim3,dim4,u_0,N_st,sze)
use bitmasks
implicit none
BEGIN_DOC
! Computes v_0 = H|u_0> and s_0 = S^2 |u_0>
! Computes the alpha/beta part of the two-body density matrix IN CHEMIST NOTATIONS
!
! Assumes that the determinants are in psi_det
!
@ -27,7 +27,7 @@
size(u_t, 1), &
N_det, N_st)
call two_rdm_dm_nstates_openmp_work(big_array,dim1,dim2,dim3,dim4,u_t,N_st,sze,1,N_det,0,1)
call two_rdm_ab_nstates_openmp_work(big_array,dim1,dim2,dim3,dim4,u_t,N_st,sze,1,N_det,0,1)
deallocate(u_t)
do k=1,N_st
@ -37,11 +37,11 @@
end
subroutine two_rdm_dm_nstates_openmp_work(big_array,dim1,dim2,dim3,dim4,u_t,N_st,sze,istart,iend,ishift,istep)
subroutine two_rdm_ab_nstates_openmp_work(big_array,dim1,dim2,dim3,dim4,u_t,N_st,sze,istart,iend,ishift,istep)
use bitmasks
implicit none
BEGIN_DOC
! Computes v_0 = H|u_0> and s_0 = S^2 |u_0>
! Computes the alpha/beta part of the two-body density matrix
!
! Default should be 1,N_det,0,1
END_DOC
@ -55,20 +55,20 @@
select case (N_int)
case (1)
call two_rdm_dm_nstates_openmp_work_1(big_array,dim1,dim2,dim3,dim4,u_t,N_st,sze,istart,iend,ishift,istep)
call two_rdm_ab_nstates_openmp_work_1(big_array,dim1,dim2,dim3,dim4,u_t,N_st,sze,istart,iend,ishift,istep)
case (2)
call two_rdm_dm_nstates_openmp_work_2(big_array,dim1,dim2,dim3,dim4,u_t,N_st,sze,istart,iend,ishift,istep)
call two_rdm_ab_nstates_openmp_work_2(big_array,dim1,dim2,dim3,dim4,u_t,N_st,sze,istart,iend,ishift,istep)
case (3)
call two_rdm_dm_nstates_openmp_work_3(big_array,dim1,dim2,dim3,dim4,u_t,N_st,sze,istart,iend,ishift,istep)
call two_rdm_ab_nstates_openmp_work_3(big_array,dim1,dim2,dim3,dim4,u_t,N_st,sze,istart,iend,ishift,istep)
case (4)
call two_rdm_dm_nstates_openmp_work_4(big_array,dim1,dim2,dim3,dim4,u_t,N_st,sze,istart,iend,ishift,istep)
call two_rdm_ab_nstates_openmp_work_4(big_array,dim1,dim2,dim3,dim4,u_t,N_st,sze,istart,iend,ishift,istep)
case default
call two_rdm_dm_nstates_openmp_work_N_int(big_array,dim1,dim2,dim3,dim4,u_t,N_st,sze,istart,iend,ishift,istep)
call two_rdm_ab_nstates_openmp_work_N_int(big_array,dim1,dim2,dim3,dim4,u_t,N_st,sze,istart,iend,ishift,istep)
end select
end
BEGIN_TEMPLATE
subroutine two_rdm_dm_nstates_openmp_work_$N_int(big_array,dim1,dim2,dim3,dim4,u_t,N_st,sze,istart,iend,ishift,istep)
subroutine two_rdm_ab_nstates_openmp_work_$N_int(big_array,dim1,dim2,dim3,dim4,u_t,N_st,sze,istart,iend,ishift,istep)
use bitmasks
implicit none
integer, intent(in) :: N_st,sze,istart,iend,ishift,istep

2
src/two_body_rdm/all_2rdm_routines.irp.f
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@ -2,7 +2,7 @@ subroutine all_two_rdm_dm_nstates_openmp(big_array_aa,big_array_bb,big_array_ab,
use bitmasks
implicit none
BEGIN_DOC
! Computes v_0 = H|u_0> and s_0 = S^2 |u_0>
! Computes the alpha/alpha, beta/beta and alpha/beta part of the two-body density matrix IN CHEMIST NOTATIONS
!
! Assumes that the determinants are in psi_det
!

20
src/two_body_rdm/orb_range_2_rdm.irp.f
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@ -4,6 +4,10 @@
BEGIN_PROVIDER [double precision, act_two_rdm_alpha_alpha_mo, (n_act_orb,n_act_orb,n_act_orb,n_act_orb)]
implicit none
double precision, allocatable :: state_weights(:)
BEGIN_DOC
! act_two_rdm_alpha_alpha_mo(i,j,k,l) = state average physicist two-body rdm restricted to the ACTIVE indices for alpha-alpha electron pairs
! = <Psi| a^{\dagger}_i a^{\dagger}_j a_l a_k |Psi>
END_DOC
allocate(state_weights(N_states))
state_weights = 1.d0/dble(N_states)
integer :: ispin
@ -17,6 +21,10 @@
BEGIN_PROVIDER [double precision, act_two_rdm_beta_beta_mo, (n_act_orb,n_act_orb,n_act_orb,n_act_orb)]
implicit none
double precision, allocatable :: state_weights(:)
BEGIN_DOC
! act_two_rdm_beta_beta_mo(i,j,k,l) = state average physicist two-body rdm restricted to the ACTIVE indices for beta-beta electron pairs
! = <Psi| a^{\dagger}_i a^{\dagger}_j a_l a_k |Psi>
END_DOC
allocate(state_weights(N_states))
state_weights = 1.d0/dble(N_states)
integer :: ispin
@ -30,6 +38,10 @@
BEGIN_PROVIDER [double precision, act_two_rdm_alpha_beta_mo, (n_act_orb,n_act_orb,n_act_orb,n_act_orb)]
implicit none
double precision, allocatable :: state_weights(:)
BEGIN_DOC
! act_two_rdm_alpha_beta_mo(i,j,k,l) = state average physicist two-body rdm restricted to the ACTIVE indices for alpha-beta electron pairs
! = <Psi| a^{\dagger}_{i,alpha} a^{\dagger}_{j,beta} a_{l,beta} a_{k,alpha} |Psi>
END_DOC
allocate(state_weights(N_states))
state_weights = 1.d0/dble(N_states)
integer :: ispin
@ -48,6 +60,14 @@
BEGIN_PROVIDER [double precision, act_two_rdm_spin_trace_mo, (n_act_orb,n_act_orb,n_act_orb,n_act_orb)]
implicit none
BEGIN_DOC
! act_two_rdm_spin_trace_mo(i,j,k,l) = state average physicist spin trace two-body rdm restricted to the ACTIVE indices
! The active part of the two-electron energy can be computed as:
!
! \sum_{i,j,k,l = 1, n_act_orb} act_two_rdm_spin_trace_mo(i,j,k,l) * < ii jj | kk ll >
!
! with ii = list_act(i), jj = list_act(j), kk = list_act(k), ll = list_act(l)
END_DOC
double precision, allocatable :: state_weights(:)
allocate(state_weights(N_states))
state_weights = 1.d0/dble(N_states)

0
src/two_body_rdm/general_2rdm_routines.irp.f → src/two_body_rdm/orb_range_routines.irp.f
View File

14
src/two_body_rdm/routines_compute_2rdm.irp.f
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@ -3,7 +3,7 @@
subroutine diagonal_contrib_to_two_rdm_ab_dm(det_1,c_1,big_array,dim1,dim2,dim3,dim4)
use bitmasks
BEGIN_DOC
! routine that update the DIAGONAL PART of the alpha/beta two body rdm
! routine that update the DIAGONAL PART of the alpha/beta two body rdm IN CHEMIST NOTATIONS
END_DOC
implicit none
integer, intent(in) :: dim1,dim2,dim3,dim4
@ -31,7 +31,7 @@
subroutine diagonal_contrib_to_all_two_rdm_dm(det_1,c_1,big_array_aa,big_array_bb,big_array_ab,dim1,dim2,dim3,dim4)
use bitmasks
BEGIN_DOC
! routine that update the DIAGONAL PART of ALL THREE two body rdm
! routine that update the DIAGONAL PART of ALL THREE two body rdm IN CHEMIST NOTATIONS
END_DOC
implicit none
integer, intent(in) :: dim1,dim2,dim3,dim4
@ -77,7 +77,7 @@
subroutine off_diagonal_double_to_two_rdm_ab_dm(det_1,det_2,c_1,c_2,big_array,dim1,dim2,dim3,dim4)
use bitmasks
BEGIN_DOC
! routine that update the OFF DIAGONAL PART of the alpha/beta 2RDM only for DOUBLE EXCITATIONS
! routine that update the OFF DIAGONAL PART of the alpha/beta 2RDM only for DOUBLE EXCITATIONS IN CHEMIST NOTATIONS
END_DOC
implicit none
integer, intent(in) :: dim1,dim2,dim3,dim4
@ -101,7 +101,7 @@
subroutine off_diagonal_single_to_two_rdm_ab_dm(det_1,det_2,c_1,c_2,big_array,dim1,dim2,dim3,dim4)
use bitmasks
BEGIN_DOC
! routine that update the OFF DIAGONAL PART of the alpha/beta 2RDM only for SINGLE EXCITATIONS
! routine that update the OFF DIAGONAL PART of the alpha/beta 2RDM only for SINGLE EXCITATIONS IN CHEMIST NOTATIONS
END_DOC
implicit none
integer, intent(in) :: dim1,dim2,dim3,dim4
@ -140,7 +140,7 @@
subroutine off_diagonal_single_to_two_rdm_aa_dm(det_1,det_2,c_1,c_2,big_array,dim1,dim2,dim3,dim4)
BEGIN_DOC
! routine that update the OFF DIAGONAL PART of the alpha/alpha 2RDM only for SINGLE EXCITATIONS
! routine that update the OFF DIAGONAL PART of the alpha/alpha 2RDM only for SINGLE EXCITATIONS IN CHEMIST NOTATIONS
END_DOC
use bitmasks
implicit none
@ -177,7 +177,7 @@
subroutine off_diagonal_single_to_two_rdm_bb_dm(det_1,det_2,c_1,c_2,big_array,dim1,dim2,dim3,dim4)
use bitmasks
BEGIN_DOC
! routine that update the OFF DIAGONAL PART of the beta /beta 2RDM only for SINGLE EXCITATIONS
! routine that update the OFF DIAGONAL PART of the beta /beta 2RDM only for SINGLE EXCITATIONS IN CHEMIST NOTATIONS
END_DOC
implicit none
integer, intent(in) :: dim1,dim2,dim3,dim4
@ -214,7 +214,7 @@
subroutine off_diagonal_double_to_two_rdm_aa_dm(det_1,det_2,c_1,c_2,big_array,dim1,dim2,dim3,dim4)
use bitmasks
BEGIN_DOC
! routine that update the OFF DIAGONAL PART of the alpha/alpha 2RDM only for DOUBLE EXCITATIONS
! routine that update the OFF DIAGONAL PART of the alpha/alpha 2RDM only for DOUBLE EXCITATIONS IN CHEMIST NOTATIONS
END_DOC
implicit none
integer, intent(in) :: dim1,dim2,dim3,dim4

129
src/two_body_rdm/routines_compute_2rdm_orb_range.irp.f
View File

@ -28,7 +28,20 @@
subroutine orb_range_diagonal_contrib_to_all_two_rdm_dm(det_1,c_1,big_array,dim1,orb_bitmask,list_orb_reverse,ispin)
use bitmasks
BEGIN_DOC
! routine that update the DIAGONAL PART of ALL THREE two body rdm
! routine that update the DIAGONAL PART of the two body rdms in a specific range of orbitals for a given determinant det_1
!
! c_1 is supposed to be a scalar quantity, such as state averaged coef of the determinant det_1
!
! big_array(dim1,dim1,dim1,dim1) is the two-body rdm to be updated in physicist notation
!
! orb_bitmask(N_int) is the bitmask for the orbital range, list_orb_reverse(mo_num) is the inverse range of orbitals
!
! ispin determines which spin-spin component of the two-rdm you will update
!
! ispin == 1 :: alpha/ alpha
! ispin == 2 :: beta / beta
! ispin == 3 :: alpha/ beta
! ispin == 4 :: spin traced <=> total two-rdm
END_DOC
implicit none
integer, intent(in) :: dim1,ispin
@ -154,7 +167,24 @@
subroutine orb_range_off_diagonal_double_to_two_rdm_ab_dm(det_1,det_2,c_1,big_array,dim1,orb_bitmask,list_orb_reverse,ispin)
use bitmasks
BEGIN_DOC
! routine that update the OFF DIAGONAL PART of the alpha/beta 2RDM only for DOUBLE EXCITATIONS
! routine that update the OFF DIAGONAL PART of the two body rdms in a specific range of orbitals for
!
! a given couple of determinant det_1, det_2 being a alpha/beta DOUBLE excitation with respect to one another
!
! c_1 is supposed to be a scalar quantity, such as state averaged coef of the determinant det_1
!
! big_array(dim1,dim1,dim1,dim1) is the two-body rdm to be updated in physicist notation
!
! orb_bitmask(N_int) is the bitmask for the orbital range, list_orb_reverse(mo_num) is the inverse range of orbitals
!
! ispin determines which spin-spin component of the two-rdm you will update
!
! ispin == 1 :: alpha/ alpha
! ispin == 2 :: beta / beta
! ispin == 3 :: alpha/ beta
! ispin == 4 :: spin traced <=> total two-rdm
!
! here, only ispin == 3 or 4 will do something
END_DOC
implicit none
integer, intent(in) :: dim1,ispin
@ -219,7 +249,24 @@
subroutine orb_range_off_diagonal_single_to_two_rdm_ab_dm(det_1,det_2,c_1,big_array,dim1,orb_bitmask,list_orb_reverse,ispin)
use bitmasks
BEGIN_DOC
! routine that update the OFF DIAGONAL PART of the alpha/beta 2RDM only for SINGLE EXCITATIONS
! routine that update the OFF DIAGONAL PART of the two body rdms in a specific range of orbitals for
!
! a given couple of determinant det_1, det_2 being a SINGLE excitation with respect to one another
!
! c_1 is supposed to be a scalar quantity, such as state averaged coef of the determinant det_1
!
! big_array(dim1,dim1,dim1,dim1) is the two-body rdm to be updated in physicist notation
!
! orb_bitmask(N_int) is the bitmask for the orbital range, list_orb_reverse(mo_num) is the inverse range of orbitals
!
! ispin determines which spin-spin component of the two-rdm you will update
!
! ispin == 1 :: alpha/ alpha
! ispin == 2 :: beta / beta
! ispin == 3 :: alpha/ beta
! ispin == 4 :: spin traced <=> total two-rdm
!
! here, only ispin == 3 or 4 will do something
END_DOC
implicit none
integer, intent(in) :: dim1,ispin
@ -320,7 +367,24 @@
subroutine orb_range_off_diagonal_single_to_two_rdm_aa_dm(det_1,det_2,c_1,big_array,dim1,orb_bitmask,list_orb_reverse,ispin)
BEGIN_DOC
! routine that update the OFF DIAGONAL PART of the alpha/alpha 2RDM only for SINGLE EXCITATIONS
! routine that update the OFF DIAGONAL PART of the two body rdms in a specific range of orbitals for
!
! a given couple of determinant det_1, det_2 being a ALPHA SINGLE excitation with respect to one another
!
! c_1 is supposed to be a scalar quantity, such as state averaged coef of the determinant det_1
!
! big_array(dim1,dim1,dim1,dim1) is the two-body rdm to be updated in physicist notation
!
! orb_bitmask(N_int) is the bitmask for the orbital range, list_orb_reverse(mo_num) is the inverse range of orbitals
!
! ispin determines which spin-spin component of the two-rdm you will update
!
! ispin == 1 :: alpha/ alpha
! ispin == 2 :: beta / beta
! ispin == 3 :: alpha/ beta
! ispin == 4 :: spin traced <=> total two-rdm
!
! here, only ispin == 1 or 4 will do something
END_DOC
use bitmasks
implicit none
@ -383,7 +447,24 @@
subroutine orb_range_off_diagonal_single_to_two_rdm_bb_dm(det_1,det_2,c_1,big_array,dim1,orb_bitmask,list_orb_reverse,ispin)
use bitmasks
BEGIN_DOC
! routine that update the OFF DIAGONAL PART of the beta /beta 2RDM only for SINGLE EXCITATIONS
! routine that update the OFF DIAGONAL PART of the two body rdms in a specific range of orbitals for
!
! a given couple of determinant det_1, det_2 being a BETA SINGLE excitation with respect to one another
!
! c_1 is supposed to be a scalar quantity, such as state averaged coef of the determinant det_1
!
! big_array(dim1,dim1,dim1,dim1) is the two-body rdm to be updated in physicist notation
!
! orb_bitmask(N_int) is the bitmask for the orbital range, list_orb_reverse(mo_num) is the inverse range of orbitals
!
! ispin determines which spin-spin component of the two-rdm you will update
!
! ispin == 1 :: alpha/ alpha
! ispin == 2 :: beta / beta
! ispin == 3 :: alpha/ beta
! ispin == 4 :: spin traced <=> total two-rdm
!
! here, only ispin == 2 or 4 will do something
END_DOC
implicit none
integer, intent(in) :: dim1,ispin
@ -449,7 +530,24 @@
subroutine orb_range_off_diagonal_double_to_two_rdm_aa_dm(det_1,det_2,c_1,big_array,dim1,orb_bitmask,list_orb_reverse,ispin)
use bitmasks
BEGIN_DOC
! routine that update the OFF DIAGONAL PART of the alpha/alpha 2RDM only for DOUBLE EXCITATIONS
! routine that update the OFF DIAGONAL PART of the two body rdms in a specific range of orbitals for
!
! a given couple of determinant det_1, det_2 being a ALPHA/ALPHA DOUBLE excitation with respect to one another
!
! c_1 is supposed to be a scalar quantity, such as state averaged coef of the determinant det_1
!
! big_array(dim1,dim1,dim1,dim1) is the two-body rdm to be updated in physicist notation
!
! orb_bitmask(N_int) is the bitmask for the orbital range, list_orb_reverse(mo_num) is the inverse range of orbitals
!
! ispin determines which spin-spin component of the two-rdm you will update
!
! ispin == 1 :: alpha/ alpha
! ispin == 2 :: beta / beta
! ispin == 3 :: alpha/ beta
! ispin == 4 :: spin traced <=> total two-rdm
!
! here, only ispin == 1 or 4 will do something
END_DOC
implicit none
integer, intent(in) :: dim1,ispin
@ -505,7 +603,24 @@
subroutine orb_range_off_diagonal_double_to_two_rdm_bb_dm(det_1,det_2,c_1,big_array,dim1,orb_bitmask,list_orb_reverse,ispin)
use bitmasks
BEGIN_DOC
! routine that update the OFF DIAGONAL PART of the beta /beta 2RDM only for DOUBLE EXCITATIONS
! routine that update the OFF DIAGONAL PART of the two body rdms in a specific range of orbitals for
!
! a given couple of determinant det_1, det_2 being a BETA /BETA DOUBLE excitation with respect to one another
!
! c_1 is supposed to be a scalar quantity, such as state averaged coef of the determinant det_1
!
! big_array(dim1,dim1,dim1,dim1) is the two-body rdm to be updated in physicist notation
!
! orb_bitmask(N_int) is the bitmask for the orbital range, list_orb_reverse(mo_num) is the inverse range of orbitals
!
! ispin determines which spin-spin component of the two-rdm you will update
!
! ispin == 1 :: alpha/ alpha
! ispin == 2 :: beta / beta
! ispin == 3 :: alpha/ beta
! ispin == 4 :: spin traced <=> total two-rdm
!
! here, only ispin == 2 or 4 will do something
END_DOC
implicit none