The relationship between the density functional Hartree-plus-exchange-correlation potential for an integer N-electron and (N-1)-electron system

TL;DR

This paper demonstrates that the Hartree-plus-exchange-correlation potential for an N-electron system differs from that of an (N-1)-electron system by a constant, given the same external potential and electron densities.

Contribution

It establishes a relationship between the density functional potentials of N-electron and (N-1)-electron systems under identical external potentials.

Findings

The potentials differ by a constant when densities are from the same external potential.

The result applies to integer electron systems.

Provides insight into the behavior of density functional potentials across electron counts.

Abstract

It is shown that the Hartree-plus-exchange-correlation density functional potential for an integer N-electron system differs by a constant form the corresponding potential for an (N-1)-electron system if the densities are determined from the same external potential.