ABSTRACT

This chapter is concerned with an idealized physical system, the electron liquid in which the particles move in a uniform background of positive charge, subject only to their mutual Coulomb interaction. It aims to an elucidation of the new physical features introduced by the Coulomb interaction, and their description in terms of Silin's generalization of the Landau theory of the Fermi liquid. The Coulomb interaction between a pair of electrons falls off slowly with distance; it is a long-range interaction. As a result a charged Fermi liquid differs appreciably from its neutral counterpart. The transport equation is applied to a calculation of the macroscopic dielectric response of a charged Fermi liquid. The special behavior of the charged Fermi liquid occurs essentially because the screening action, of the electrons dominates their response to any quasistatic longitudinal field.