BEGIN_PROVIDER [double precision, htilde_matrix_elmt_bi_ortho, (N_det,N_det)]

  BEGIN_DOC
  ! htilde_matrix_elmt_bi_ortho(j,i) = <J| H^tilde |I> 
  !
  ! WARNING !!!!!!!!! IT IS NOT HERMITIAN !!!!!!!!!
  END_DOC
 
  implicit none
  integer          :: i, j
  double precision :: htot

  PROVIDE N_int

  i = 1
  j = 1
  call htilde_mu_mat_opt_bi_ortho_tot(psi_det(1,1,j), psi_det(1,1,i), N_int, htot)

 !$OMP PARALLEL DO SCHEDULE(GUIDED) DEFAULT(NONE) PRIVATE(i,j, htot) &
 !$OMP SHARED (N_det, psi_det, N_int,htilde_matrix_elmt_bi_ortho)
    do i = 1, N_det
      do j = 1, N_det
        ! < J | Htilde | I >
        call htilde_mu_mat_opt_bi_ortho_tot(psi_det(1,1,j), psi_det(1,1,i), N_int, htot)

        htilde_matrix_elmt_bi_ortho(j,i) = htot
      enddo
    enddo
 !$OMP END PARALLEL DO

END_PROVIDER 

! ---

BEGIN_PROVIDER [double precision, htilde_matrix_elmt_bi_ortho_tranp, (N_det,N_det)]
 implicit none
 integer ::i,j
  do i = 1, N_det
    do j = 1, N_det
      htilde_matrix_elmt_bi_ortho_tranp(j,i) = htilde_matrix_elmt_bi_ortho(i,j)
    enddo
  enddo
END_PROVIDER