2023-02-06 19:26:58 +01:00
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BEGIN_PROVIDER [ double precision, fock_3_mat, (mo_num, mo_num)]
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implicit none
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integer :: i,j
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double precision :: contrib
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fock_3_mat = 0.d0
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if(.not.bi_ortho.and.three_body_h_tc)then
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call give_fock_ia_three_e_total(1,1,contrib)
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!! !$OMP PARALLEL &
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!! !$OMP DEFAULT (NONE) &
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!! !$OMP PRIVATE (i,j,m,integral) &
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!! !$OMP SHARED (mo_num,three_body_3_index)
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!! !$OMP DO SCHEDULE (guided) COLLAPSE(3)
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do i = 1, mo_num
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do j = 1, mo_num
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call give_fock_ia_three_e_total(j,i,contrib)
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fock_3_mat(j,i) = -contrib
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enddo
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enddo
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else if(bi_ortho.and.three_body_h_tc)then
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!! !$OMP END DO
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!! !$OMP END PARALLEL
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!! do i = 1, mo_num
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!! do j = 1, i-1
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!! mat_three(j,i) = mat_three(i,j)
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!! enddo
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!! enddo
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endif
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END_PROVIDER
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subroutine give_fock_ia_three_e_total(i,a,contrib)
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implicit none
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BEGIN_DOC
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! contrib is the TOTAL (same spins / opposite spins) contribution from the three body term to the Fock operator
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!
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END_DOC
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integer, intent(in) :: i,a
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double precision, intent(out) :: contrib
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double precision :: int_1, int_2, int_3
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double precision :: mos_i, mos_a, w_ia
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double precision :: mos_ia, weight
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integer :: mm, ipoint,k,l
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int_1 = 0.d0
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int_2 = 0.d0
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int_3 = 0.d0
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do mm = 1, 3
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do ipoint = 1, n_points_final_grid
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weight = final_weight_at_r_vector(ipoint)
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mos_i = mos_in_r_array_transp(ipoint,i)
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mos_a = mos_in_r_array_transp(ipoint,a)
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mos_ia = mos_a * mos_i
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w_ia = x_W_ij_erf_rk(ipoint,mm,i,a)
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int_1 += weight * fock_3_w_kk_sum(ipoint,mm) * (4.d0 * fock_3_rho_beta(ipoint) * w_ia &
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+ 2.0d0 * mos_ia * fock_3_w_kk_sum(ipoint,mm) &
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- 2.0d0 * fock_3_w_ki_mos_k(ipoint,mm,i) * mos_a &
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- 2.0d0 * fock_3_w_ki_mos_k(ipoint,mm,a) * mos_i )
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int_2 += weight * (-1.d0) * ( 2.0d0 * fock_3_w_kl_mo_k_mo_l(ipoint,mm) * w_ia &
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+ 2.0d0 * fock_3_rho_beta(ipoint) * fock_3_w_ki_wk_a(ipoint,mm,i,a) &
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+ 1.0d0 * mos_ia * fock_3_trace_w_tilde(ipoint,mm) )
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int_3 += weight * 1.d0 * (fock_3_w_kl_wla_phi_k(ipoint,mm,i) * mos_a + fock_3_w_kl_wla_phi_k(ipoint,mm,a) * mos_i &
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+fock_3_w_ki_mos_k(ipoint,mm,i) * fock_3_w_ki_mos_k(ipoint,mm,a) )
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enddo
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enddo
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contrib = int_1 + int_2 + int_3
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end
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! ---
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BEGIN_PROVIDER [double precision, diag_three_elem_hf]
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implicit none
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integer :: i, j, k, ipoint, mm
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double precision :: contrib, weight, four_third, one_third, two_third, exchange_int_231
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double precision :: integral_aaa, hthree, integral_aab, integral_abb, integral_bbb
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PROVIDE mo_l_coef mo_r_coef
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!print *, ' providing diag_three_elem_hf'
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if(.not. three_body_h_tc) then
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diag_three_elem_hf = 0.d0
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else
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if(.not. bi_ortho) then
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! ---
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one_third = 1.d0/3.d0
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two_third = 2.d0/3.d0
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four_third = 4.d0/3.d0
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diag_three_elem_hf = 0.d0
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do i = 1, elec_beta_num
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do j = 1, elec_beta_num
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do k = 1, elec_beta_num
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call give_integrals_3_body(k, j, i, j, i, k,exchange_int_231)
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diag_three_elem_hf += two_third * exchange_int_231
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enddo
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enddo
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enddo
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do mm = 1, 3
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do ipoint = 1, n_points_final_grid
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weight = final_weight_at_r_vector(ipoint)
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contrib = 3.d0 * fock_3_w_kk_sum(ipoint,mm) * fock_3_rho_beta(ipoint) * fock_3_w_kk_sum(ipoint,mm) &
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- 2.d0 * fock_3_w_kl_mo_k_mo_l(ipoint,mm) * fock_3_w_kk_sum(ipoint,mm) &
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- 1.d0 * fock_3_rho_beta(ipoint) * fock_3_w_kl_w_kl(ipoint,mm)
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contrib *= four_third
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contrib += -two_third * fock_3_rho_beta(ipoint) * fock_3_w_kl_w_kl(ipoint,mm) &
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-four_third * fock_3_w_kk_sum(ipoint,mm) * fock_3_w_kl_mo_k_mo_l(ipoint,mm)
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diag_three_elem_hf += weight * contrib
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enddo
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enddo
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diag_three_elem_hf = - diag_three_elem_hf
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! ---
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else
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provide mo_l_coef mo_r_coef
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call give_aaa_contrib(integral_aaa)
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call give_aab_contrib(integral_aab)
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call give_abb_contrib(integral_abb)
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call give_bbb_contrib(integral_bbb)
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diag_three_elem_hf = integral_aaa + integral_aab + integral_abb + integral_bbb
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! print*,'integral_aaa + integral_aab + integral_abb + integral_bbb'
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! print*,integral_aaa , integral_aab , integral_abb , integral_bbb
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endif
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endif
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END_PROVIDER
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! ---
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BEGIN_PROVIDER [ double precision, fock_3_mat_a_op_sh, (mo_num, mo_num)]
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implicit none
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integer :: h,p,i,j
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double precision :: direct_int, exch_int, exchange_int_231, exchange_int_312
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double precision :: exchange_int_23, exchange_int_12, exchange_int_13
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fock_3_mat_a_op_sh = 0.d0
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do h = 1, mo_num
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do p = 1, mo_num
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!F_a^{ab}(h,p)
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do i = 1, elec_beta_num ! beta
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do j = elec_beta_num+1, elec_alpha_num ! alpha
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call give_integrals_3_body(h,j,i,p,j,i,direct_int) ! <hji|pji>
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call give_integrals_3_body(h,j,i,j,p,i,exch_int)
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fock_3_mat_a_op_sh(h,p) -= direct_int - exch_int
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enddo
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enddo
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!F_a^{aa}(h,p)
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do i = 1, elec_beta_num ! alpha
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do j = elec_beta_num+1, elec_alpha_num ! alpha
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call give_integrals_3_body(h,j,i,p,j,i,direct_int)
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call give_integrals_3_body(h,j,i,i,p,j,exchange_int_231)
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call give_integrals_3_body(h,j,i,j,i,p,exchange_int_312)
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call give_integrals_3_body(h,j,i,p,i,j,exchange_int_23)
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call give_integrals_3_body(h,j,i,i,j,p,exchange_int_12)
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call give_integrals_3_body(h,j,i,j,p,i,exchange_int_13)
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fock_3_mat_a_op_sh(h,p) -= ( direct_int + exchange_int_231 + exchange_int_312 &
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- exchange_int_23 & ! i <-> j
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- exchange_int_12 & ! p <-> j
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- exchange_int_13 )! p <-> i
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enddo
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enddo
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enddo
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enddo
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! symmetrized
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! do p = 1, elec_beta_num
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! do h = elec_alpha_num +1, mo_num
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! fock_3_mat_a_op_sh(h,p) = fock_3_mat_a_op_sh(p,h)
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! enddo
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! enddo
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! do h = elec_beta_num+1, elec_alpha_num
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! do p = elec_alpha_num +1, mo_num
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! !F_a^{bb}(h,p)
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! do i = 1, elec_beta_num
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! do j = i+1, elec_beta_num
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! call give_integrals_3_body(h,j,i,p,j,i,direct_int)
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! call give_integrals_3_body(h,j,i,p,i,j,exch_int)
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! fock_3_mat_a_op_sh(h,p) -= direct_int - exch_int
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! enddo
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! enddo
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! enddo
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! enddo
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END_PROVIDER
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BEGIN_PROVIDER [ double precision, fock_3_mat_b_op_sh, (mo_num, mo_num)]
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implicit none
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integer :: h,p,i,j
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double precision :: direct_int, exch_int
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fock_3_mat_b_op_sh = 0.d0
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do h = 1, elec_beta_num
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do p = elec_alpha_num +1, mo_num
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!F_b^{aa}(h,p)
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do i = 1, elec_beta_num
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do j = elec_beta_num+1, elec_alpha_num
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call give_integrals_3_body(h,j,i,p,j,i,direct_int)
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call give_integrals_3_body(h,j,i,p,i,j,exch_int)
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fock_3_mat_b_op_sh(h,p) += direct_int - exch_int
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enddo
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enddo
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!F_b^{ab}(h,p)
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do i = elec_beta_num+1, elec_beta_num
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do j = 1, elec_beta_num
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call give_integrals_3_body(h,j,i,p,j,i,direct_int)
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call give_integrals_3_body(h,j,i,j,p,i,exch_int)
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fock_3_mat_b_op_sh(h,p) += direct_int - exch_int
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enddo
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enddo
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enddo
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enddo
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END_PROVIDER
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2023-02-07 16:45:10 +01:00
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BEGIN_PROVIDER [ double precision, fock_3_w_kk_sum, (n_points_final_grid,3)]
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implicit none
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integer :: mm, ipoint,k
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double precision :: w_kk
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fock_3_w_kk_sum = 0.d0
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do k = 1, elec_beta_num
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do mm = 1, 3
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do ipoint = 1, n_points_final_grid
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w_kk = x_W_ij_erf_rk(ipoint,mm,k,k)
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fock_3_w_kk_sum(ipoint,mm) += w_kk
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enddo
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enddo
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enddo
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END_PROVIDER
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BEGIN_PROVIDER [ double precision, fock_3_w_ki_mos_k, (n_points_final_grid,3,mo_num)]
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implicit none
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integer :: mm, ipoint,k,i
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double precision :: w_ki, mo_k
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fock_3_w_ki_mos_k = 0.d0
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do i = 1, mo_num
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do k = 1, elec_beta_num
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do mm = 1, 3
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do ipoint = 1, n_points_final_grid
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w_ki = x_W_ij_erf_rk(ipoint,mm,k,i)
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mo_k = mos_in_r_array(k,ipoint)
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fock_3_w_ki_mos_k(ipoint,mm,i) += w_ki * mo_k
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enddo
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enddo
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enddo
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enddo
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END_PROVIDER
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BEGIN_PROVIDER [ double precision, fock_3_w_kl_w_kl, (n_points_final_grid,3)]
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implicit none
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integer :: k,j,ipoint,mm
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double precision :: w_kj
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fock_3_w_kl_w_kl = 0.d0
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do j = 1, elec_beta_num
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do k = 1, elec_beta_num
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do mm = 1, 3
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do ipoint = 1, n_points_final_grid
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w_kj = x_W_ij_erf_rk(ipoint,mm,k,j)
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fock_3_w_kl_w_kl(ipoint,mm) += w_kj * w_kj
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enddo
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enddo
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enddo
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enddo
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END_PROVIDER
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BEGIN_PROVIDER [ double precision, fock_3_rho_beta, (n_points_final_grid)]
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implicit none
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integer :: ipoint,k
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fock_3_rho_beta = 0.d0
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do ipoint = 1, n_points_final_grid
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do k = 1, elec_beta_num
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fock_3_rho_beta(ipoint) += mos_in_r_array(k,ipoint) * mos_in_r_array(k,ipoint)
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enddo
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enddo
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END_PROVIDER
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BEGIN_PROVIDER [ double precision, fock_3_w_kl_mo_k_mo_l, (n_points_final_grid,3)]
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implicit none
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integer :: ipoint,k,l,mm
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double precision :: mos_k, mos_l, w_kl
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fock_3_w_kl_mo_k_mo_l = 0.d0
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do k = 1, elec_beta_num
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do l = 1, elec_beta_num
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do mm = 1, 3
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do ipoint = 1, n_points_final_grid
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mos_k = mos_in_r_array_transp(ipoint,k)
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mos_l = mos_in_r_array_transp(ipoint,l)
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w_kl = x_W_ij_erf_rk(ipoint,mm,l,k)
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fock_3_w_kl_mo_k_mo_l(ipoint,mm) += w_kl * mos_k * mos_l
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enddo
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enddo
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enddo
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enddo
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END_PROVIDER
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BEGIN_PROVIDER [ double precision, fock_3_w_ki_wk_a, (n_points_final_grid,3,mo_num, mo_num)]
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implicit none
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integer :: ipoint,i,a,k,mm
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double precision :: w_ki,w_ka
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fock_3_w_ki_wk_a = 0.d0
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do i = 1, mo_num
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do a = 1, mo_num
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do mm = 1, 3
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do ipoint = 1, n_points_final_grid
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do k = 1, elec_beta_num
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w_ki = x_W_ij_erf_rk(ipoint,mm,k,i)
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w_ka = x_W_ij_erf_rk(ipoint,mm,k,a)
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fock_3_w_ki_wk_a(ipoint,mm,a,i) += w_ki * w_ka
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enddo
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enddo
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enddo
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enddo
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enddo
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END_PROVIDER
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BEGIN_PROVIDER [ double precision, fock_3_trace_w_tilde, (n_points_final_grid,3)]
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implicit none
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integer :: ipoint,k,mm
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fock_3_trace_w_tilde = 0.d0
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|
do k = 1, elec_beta_num
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do mm = 1, 3
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do ipoint = 1, n_points_final_grid
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fock_3_trace_w_tilde(ipoint,mm) += fock_3_w_ki_wk_a(ipoint,mm,k,k)
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enddo
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enddo
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enddo
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END_PROVIDER
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BEGIN_PROVIDER [ double precision, fock_3_w_kl_wla_phi_k, (n_points_final_grid,3,mo_num)]
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|
|
implicit none
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|
|
integer :: ipoint,a,k,mm,l
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|
|
double precision :: w_kl,w_la, mo_k
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|
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|
|
fock_3_w_kl_wla_phi_k = 0.d0
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|
|
|
|
do a = 1, mo_num
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|
|
|
|
do k = 1, elec_beta_num
|
|
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|
|
do l = 1, elec_beta_num
|
|
|
|
|
do mm = 1, 3
|
|
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|
|
do ipoint = 1, n_points_final_grid
|
|
|
|
|
w_kl = x_W_ij_erf_rk(ipoint,mm,l,k)
|
|
|
|
|
w_la = x_W_ij_erf_rk(ipoint,mm,l,a)
|
|
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|
|
mo_k = mos_in_r_array_transp(ipoint,k)
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|
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|
|
fock_3_w_kl_wla_phi_k(ipoint,mm,a) += w_kl * w_la * mo_k
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|
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enddo
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enddo
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enddo
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|
enddo
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|
enddo
|
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END_PROVIDER
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|
