Are the Perturbation Expansions for the Ground State of Helium the Same for Hartree and Hartree-Fock Model Hamiltonians?

7 January 1966

journal article
research article
Published by American Physical Society (APS) in Physical Review B

Vol. 141 (1) , 32-34
https://doi.org/10.1103/physrev.141.32

Abstract

The Weiss-Martin variation-perturbation calculation for the first-order function in the perturbation expansion of the ground-state function of the helium atom, ostensibly using a Hartree-Fock model Hamiltonian, actually uses a Hartree model Hamiltonian. We show that the equation obtained for the first-order function using a Hartree model Hamiltonian and the corresponding equation obtained using a Hartree-Fock model Hamiltonian have no common solution. Thus, no conclusion may be drawn about the Hartree-Fock approximation on the basis of the Weiss-Martin paper.

Keywords

This publication has 1 reference indexed in Scilit:

First-Order Perturbation Corrections to the Hartree-Fock Approximation for Helium
Physical Review B, 1963