DENSITY AMPLITUDE EQUATION OF INHOMOGENEOUS ELECTRON LIQUID - A ROUTEVIA HARTREE-FOCK DENSITY-MATRIX

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