Correlated orbital theories with both local and non-local one-body potentials

Abstract

After a brief survey of current density functional theory (DFT), based on an incompletely known one-body potential V(r), a method due to Cordero, March, and Alonso (CMA) is summarized. This obtains the ground-state density n(r), for spherical atoms as yet, from a semi-empirical fine-tuning of Hartree-Fock (HF) theory, which of course involves a non-local potential because of the presence of the Fock operator. This leads to n(r) for spherical atoms of quantum Monte Carlo quality. A more recent proposal, related to CMA but different, by Bartlett, is also reviewed.