"Derivation and reinterpretation of the Fermi-Amaldi functional." by Ivan P Bosko and Viktor N Staroverov
 

Chemistry Publications

Document Type

Article

Publication Date

10-7-2023

Journal

The Journal of Chemical Physics

Volume

159

Issue

13

URL with Digital Object Identifier

https://doi.org/10.1063/5.0166358

Abstract

The Fermi-Amaldi correction to the electrostatic self-repulsion of the particle density is usually regarded as a semi-classical exchange functional that happens to be exact only for one- and closed-shell two-electron systems. We show that this functional can be derived quantum-mechanically and is exact for any number of fermions or bosons of arbitrary spin as long as the particles occupy the same spatial orbital. The Fermi-Amaldi functional is also size-consistent for such systems, provided that the factor N in its expression is understood as an orbital occupation number rather than the total number of particles. These properties of the Fermi-Amaldi functional are ultimately related to the fact that it is a special case of the self-exchange energy formula. Implications of our findings are discussed.

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