The Shielding of a Fixed Charge in a Metal

Abstract

The shielding of a fixed charge of an impurity atom in a metal has been calculated self-consistently by means of the first order perturbation theory without use of Poisson’s equation. It has turned out that the displaced charge density of conduction electrons is finite at the center of the fixed charge, and that the dependence of the exchange potential upon the wave vector results in an uniformly displaced charge density in the crystal. The theory has been extended to the case of the degenerate electron gas including two static charges.