Theory of electron liquids. I. Electron-hole pseudopotentials

Abstract
The polarization-potential theory developed by Aldrich and Pines for helium liquids is extended to electron liquids. Configuration-space pseudopotentials are introduced to describe the modifications in electron interaction at short distances brought about by charge- and spin-induced correlations. The results obtained for the compressibility and spin susceptibility by Vosko, Wilk, and Nusair from Monte Carlo calculations are combined with simple physical arguments to obtain new expressions for the wave-vector-dependent dielectric function and spin susceptibility, which reduce in the long-wavelength limit to the Monte Carlo results. The relative effectiveness of charge- and spin-induced correlations is calculated as a function of electron density, and results are compared with previous calculations for electron liquids and with the corresponding results for the helium liquids.