10
0
mirror of https://github.com/QuantumPackage/qp2.git synced 2024-06-27 07:32:21 +02:00
QuantumPackage/src/two_body_rdm/two_e_dm_mo.irp.f
2021-04-17 02:18:57 +02:00

41 lines
1.5 KiB
Fortran

BEGIN_PROVIDER [double precision, two_e_dm_mo, (mo_num,mo_num,mo_num,mo_num)]
implicit none
BEGIN_DOC
! two_e_dm_bb_mo(i,j,k,l,istate) = STATE SPECIFIC physicist notation for 2RDM of beta/beta electrons
!
! <Psi| a^{\dagger}_{i \beta} a^{\dagger}_{j \beta} a_{l \beta} a_{k \beta} |Psi>
!
! WHERE ALL ORBITALS (i,j,k,l) BELONGS TO ALL OCCUPIED ORBITALS : core, inactive and active
!
! THE NORMALIZATION (i.e. sum of diagonal elements) IS SET TO N_{elec} * (N_{elec} - 1)/2
!
! !!!!! WARNING !!!!! ALL SLATER DETERMINANTS IN PSI_DET MUST BELONG TO AN ACTIVE SPACE DEFINED BY "list_act"
!
! !!!!! WARNING !!!!! IF "no_core_density" then all elements involving at least one CORE MO is set to zero
! The two-electron energy of each state can be computed as:
!
! \sum_{i,j,k,l = 1, n_core_inact_act_orb} two_e_dm_mo(i,j,k,l,istate) * < ii jj | kk ll >
!
! with ii = list_core_inact_act(i), jj = list_core_inact_act(j), kk = list_core_inact_act(k), ll = list_core_inact_act(l)
END_DOC
two_e_dm_mo = 0.d0
integer :: i,j,k,l,iorb,jorb,korb,lorb,istate
do l=1,mo_num
lorb = list_core_inact_act(l)
do k=1,mo_num
korb = list_core_inact_act(k)
do j=1,mo_num
jorb = list_core_inact_act(j)
do i=1,mo_num
iorb = list_core_inact_act(i)
two_e_dm_mo(iorb,jorb,korb,lorb) = state_av_full_occ_2_rdm_spin_trace_mo(i,j,k,l)
enddo
enddo
enddo
enddo
two_e_dm_mo(:,:,:,:) = two_e_dm_mo(:,:,:,:) * 2.d0
END_PROVIDER