Abstract
Abstract The static pair correlation function of the three-dimensional homogeneous electron gas at given temperature and density is estimated by the scattering of non-interacting particles in an effective potential. Within a generalized Thomas–Fermi approximation the resulting self-consistency conditions can be reduced to a simple linear differential equation. The influence of temperature and interaction on the short-range correlations is investigated extensively. The comparison with ground-state Monte-Carlo calculations shows an excellent conformity at metallic densities.
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