ENERGY FUNCTIONALS IN MOMENTUM-SPACE - EXCHANGE ENERGY, QUANTUM CORRECTIONS, AND THE KOHN-SHAM SCHEME

We derive, to leading order, the momentum-space functionals of the exc hange energy and of the quantum corrections to the electrostatic energ y. The energy functionals thus refined are used to introduce a Kohn-Sh am scheme for self-consistent momentum-space calculations. This scheme is applied to helium and beryllium. The results differ from those obt ained in the standard Kohn-Sham scheme in configuration space. The tot al binding energies predicted by the momentum-space computation are so mewhat better than those of the configuration-space method.