A method for the solution of the pair equation, by summation over a complete and finite basis set, is presented. The basis set is obtained by diagonalization of a discretized Hermitian one-particle Hamiltonian. The number of operations required to solve the radial pair equation is proportional to N³ where N is the number of radial lattice points used. An application to the ground state of helium, evaluating the total energy to an accuracy of a few parts in 10⁸, is presented. The method is equally well applicable to the study of pair correlation in many-electron atoms.
No takes yet. Share an insight, caveat, or question.
Salomonson et al. (1989) studied this question.