2021-04-17 02:18:57 +02:00
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BEGIN_PROVIDER [double precision, two_e_dm_mo, (mo_num,mo_num,mo_num,mo_num)]
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2021-02-22 12:12:30 +01:00
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implicit none
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BEGIN_DOC
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! two_e_dm_bb_mo(i,j,k,l,istate) = STATE SPECIFIC physicist notation for 2RDM of beta/beta electrons
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!
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! <Psi| a^{\dagger}_{i \beta} a^{\dagger}_{j \beta} a_{l \beta} a_{k \beta} |Psi>
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!
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2021-05-20 18:19:44 +02:00
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! where the indices (i,j,k,l) belong to all MOs.
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2021-02-22 12:12:30 +01:00
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!
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2021-05-20 18:19:44 +02:00
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! The normalization (i.e. sum of diagonal elements) is set to $N_{elec} * (N_{elec} - 1)/2$
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2021-02-22 12:12:30 +01:00
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!
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2021-05-20 18:19:44 +02:00
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! !!!!! WARNING !!!!! IF "no_core_density" then all elements involving at least one CORE MO are set to zero
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! The state-averaged two-electron energy :
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2021-02-22 12:12:30 +01:00
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!
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2021-05-20 18:19:44 +02:00
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! \sum_{i,j,k,l = 1, mo_num} two_e_dm_mo(i,j,k,l) * < ii jj | kk ll >
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END_DOC
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two_e_dm_mo = 0.d0
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integer :: i,j,k,l,iorb,jorb,korb,lorb,istate
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2021-03-14 01:14:12 +01:00
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do l=1,mo_num
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lorb = list_core_inact_act(l)
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do k=1,mo_num
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korb = list_core_inact_act(k)
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do j=1,mo_num
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jorb = list_core_inact_act(j)
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do i=1,mo_num
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iorb = list_core_inact_act(i)
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2021-04-17 02:18:57 +02:00
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two_e_dm_mo(iorb,jorb,korb,lorb) = state_av_full_occ_2_rdm_spin_trace_mo(i,j,k,l)
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2021-03-14 01:14:12 +01:00
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enddo
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enddo
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enddo
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2021-02-22 12:12:30 +01:00
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enddo
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2021-04-17 02:18:57 +02:00
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two_e_dm_mo(:,:,:,:) = two_e_dm_mo(:,:,:,:) * 2.d0
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2021-02-22 12:12:30 +01:00
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2021-03-14 01:14:12 +01:00
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END_PROVIDER
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