One-component charged systems as a limiting case of quantal two-component mixtures - A bifurcation procedure for a many-body system

Abstract

The standard model problem of a three-dimensional fully interacting electron gas in a uniform compensating background is shown to result from a procedure starting at the operator leval with a fully quantum mechanical two-component system of electrons and countercharge (e.g. nuclei), and following a dual limiting process involving the division of charge and the scaling of mass. The bifurcation method provides insight into other aspects of the corresponding many-body problem, two examples of which are given.