Interaction of Charged Particles with a Degenerate Fermi-Dirac Electron Gas

Expressions for the self-energy and interaction probability of charged particles in a degenerate Fermi-Dirac electron gas are given, generalizing from the dielectric theory of Lindhard and Hubbard and treating interactions between electrons in the gas by first order perturbation theory. Numerical results for the interaction probability in a particular case are presented. A more general Feynman diagrammatic analysis of interaction in the gas is carried out, yielding results in agreement with the more elementary approach.