Partitioning of the Electron Correlation Energy

TL;DR

This paper introduces an exact partition function for electron correlation energy between two states, enabling the derivation of a model potential that accurately reproduces helium atom singlet states.

Contribution

It proposes a novel exact partition function for correlation energy and develops a model potential for two-electron systems based on this function.

Findings

Accurately reproduces helium singlet states

Provides a new approach to treat electron correlation

Enhances understanding of many-body problems

Abstract

Electron-electron correlation forms the basis of difficulties encountered in many-body problems. Accurate treatment of the correlation problem is likely to unravel some nice physical properties of matter embedded in this correlation. In an effort to tackle this many-body problem, an exact partition function for the correlation energy between two interacting states is proposed in this study. Using this partition function, a model potential for a two-electron system is derived. The model potential can accurately reproduce the singlet states of a singly excited neutral helium atom with one of its electrons frozen in the $1s$ orbital.