The Pair Correlation Function of an Imperfect Electron Gas in High Densities

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Abstract
The pair correlation function, or the relative pair distribution function, of a high density imperfect electron gas in the ground state is computed numerically versus the distance between two electrons with antiparallel spins on the one hand and with parallel spins on the other, for three values of density for each. In the latter case, it is computed, using an approximate expression, only over the distance small compared with the reciprocal of the Fermi momentum divided by \hbar. In both cases it increases monotonously with distance for a value of density and decreases with density for a fixed distance due to the increasing effect of Coulomb repulsion with decreasing density.

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