Electron Correlations at Metallic Densities, II. Quantum Mechanical Expression of Dielectric Function with Wigner Distribution Function

抄録

The approximation method developed by Singwi et al. for classical distribution function is applied to the Wigner distribution function in a quantum system. In this way a quantum mechanical expression is derived for dielectric function of an interacting electron gas. Self-consistent numerical calculations of structure factor and dielectric function are carried out for an electron gas at metallic density of electrons. Pair distribution function, compressibility, correlation energy and dispersion relation of plasmons are numerically calculated from the calculated structure factor. The calculated results of the pair distribution function are found to be positive for the entire range of real metallic density of electrons.