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quantum_package/src/Perturbation/epstein_nesbet.irp.f

67 lines
2.4 KiB
Fortran

subroutine pt2_epstein_nesbet(det_pert,c_pert,e_2_pert,H_pert_diag,Nint,ndet,n_st)
use bitmasks
implicit none
integer, intent(in) :: Nint,ndet,n_st
integer(bit_kind), intent(in) :: det_pert(Nint,2)
double precision , intent(out) :: c_pert(n_st),e_2_pert(n_st),H_pert_diag
double precision :: i_H_psi_array(N_st)
BEGIN_DOC
! compute the standard Epstein-Nesbet perturbative first order coefficient and second order energetic contribution
!
! for the various n_st states.
!
! c_pert(i) = <psi(i)|H|det_pert>/( E(i) - <det_pert|H|det_pert> )
!
! e_2_pert(i) = <psi(i)|H|det_pert>^2/( E(i) - <det_pert|H|det_pert> )
!
END_DOC
integer :: i,j
double precision :: diag_H_mat_elem
double precision, parameter :: eps = tiny(1.d0)
ASSERT (Nint == N_int)
ASSERT (Nint > 0)
call i_H_psi(det_pert,psi_ref,psi_ref_coef,Nint,ndet,psi_ref_size,n_st,i_H_psi_array)
H_pert_diag = diag_H_mat_elem(det_pert,Nint)
do i =1,n_st
c_pert(i) = i_H_psi_array(i) / (reference_energy(i) - H_pert_diag + eps)
e_2_pert(i) = c_pert(i) * i_H_psi_array(i)
enddo
end
subroutine pt2_epstein_nesbet_2x2(det_pert,c_pert,e_2_pert,H_pert_diag,Nint,ndet,n_st)
use bitmasks
implicit none
integer, intent(in) :: Nint,ndet,n_st
integer(bit_kind), intent(in) :: det_pert(Nint,2)
double precision , intent(out) :: c_pert(n_st),e_2_pert(n_st),H_pert_diag
double precision :: i_H_psi_array(N_st)
BEGIN_DOC
! compute the Epstein-Nesbet 2x2 diagonalization coefficient and energetic contribution
!
! for the various n_st states.
!
! e_2_pert(i) = 0.5 * (( <det_pert|H|det_pert> - E(i) ) - sqrt( ( <det_pert|H|det_pert> - E(i)) ^2 + 4 <psi(i)|H|det_pert>^2 )
!
! c_pert(i) = e_2_pert(i)/ <psi(i)|H|det_pert>
!
END_DOC
integer :: i,j
double precision :: diag_H_mat_elem,delta_e
double precision, parameter :: eps = tiny(1.d0)
ASSERT (Nint == N_int)
ASSERT (Nint > 0)
call i_H_psi(det_pert,psi_ref,psi_ref_coef,Nint,N_det_ref,psi_ref_size,n_st,i_H_psi_array)
H_pert_diag = diag_H_mat_elem(det_pert,Nint)
do i =1,n_st
delta_e = H_pert_diag - reference_energy(i)
e_2_pert(i) = 0.5d0 * (delta_e - dsqrt(delta_e * delta_e + 4.d0 * i_H_psi_array(i) * i_H_psi_array(i)))
c_pert(i) = e_2_pert(i)/(i_H_psi_array(i)+eps)
enddo
end