Method of Correlated Basis Functions for the Ground State of an Electron Gas

Abstract
The ground state of an electron gas is studied by means of the method of correlated basis functions developed by Wu and Feenberg. The optimum form of the Bijl-Dingle-Jastrow-type wave function of a charged-boson gas obtained with the application of the paired-phonon analysis is used as the correlation factor in a trial wave function describing the electron gas. Numerical results are given for the correlation energy per particle and the radial distribution function at metallic densities. The high-density limit of the system is briefly discussed.