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New Horizons in Mathematical Physics
NHMP > Volume 4, Number 2, June 2020

Partitioning of the Electron-Electron Interaction

Download PDF  (252 KB)PP. 23-28,  Pub. Date:May 26, 2020
DOI: 10.22606/nhmp.2020.42001

Author(s)
Eric Ouma Jobunga
Affiliation(s)
Department of Mathematics and Physics, Technical University of Mombasa, P. O. Box 90420-80100, Mombasa, Kenya
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, a classical partition function for the electron-electron correlation 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.
Keywords
electron-electron interaction, correlation energy, helium, partitioning, multipole expansion.
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