Density Amplitude Equation of Inhomogeneous Electron Liquid: A Route Via Hartree-Fock Density Matrix

Abstract

The effective potential entering the Schrodinger equation for the ground-state density amplitude of an inhomogeneous electron liquid is shown to be a unique functional of the Hartree-Fock density matrix, the functional being known. However, this would only become a density functional theory if the Hartree-Fock density matrix could be written as a functional of the exact ground-state density. This is also shown to be true, at least in principle.