Electron Correlations at Metallic Densities

Abstract

Expressions for the dynamical dielectric function and dynamical paramagnetic spin susceptibility of the electron gas at metallic densities are derived by applying the approximation of Schneider et al. for the decoupling of the classical two-body distribution function to the previous theory of Hasegawa and Shimizu, where Wigner's quantum distribution function was used. By means of the fluctuation-dissipation theorem, the self-consistent equations for the dielectric function and dynamical susceptibility are obtained. The numerical results of the pair correlation function, the correlation energy, the structure factor, the compressibility and the spin susceptibility are shown and are compared with the previous results. It is shown that the compressibility sum rule is almost exactly satisfied at all metallic densities.