Electron Correlations at Metallic Densities

The self-consistent numerical calculation of the dielectric function based on the theory of Schneider et al. is carried out for an electron gas at metallic density of electrons. The correlation energy, compressibility, dispersion relation of plasmon and pair distribution functions are numerically calculated from the calculated dielectric function. The present result approximately satisfies the compressibility sum rule. The self-consistent numerical calculation of the dynamical spin susceptibility is carried out by extending the self-consistent theory given by Schneider et al. , and the spin-dependent pair distribution function and static spin susceptibility are calculated. The calculated value of the static spin susceptibility is found to agree with the observed value for sodium.