Identity for the DFT correlation functional

TL;DR

This paper demonstrates a fundamental equation linking N-electron and (N-1)-electron densities within the DFT correlation functional, providing new insights into electron correlation.

Contribution

It introduces a novel equation connecting electron densities of different electron counts within the same scaled Hamiltonian in DFT.

Findings

Establishes a new relationship between N-electron and (N-1)-electron densities.

Provides theoretical foundation for improved correlation functionals.

Enhances understanding of electron correlation in density functional theory.

Abstract

It is shown that the electron density functional correlation functional satisfies an equation that links the N-electron and (N-1)-electron densities of the same adiabatically scaled Hamiltonian of the interacting electron system.