Dawson—March Model for the Pair Function af a Two-dimensional Electron Liquid

Abstract

Based on the functional representation for the pair function developed by Dawson and March the ground state correlations of a two-dimensional electron gas are investigated. The method appears to produce reliable results for high and intermediate densities. Although the approach contains a linearization step using first order Born's approximation, the resulting zero-distance-correlations remain positive.

Key Words:

• Jellium
• pair correlations
• effective potential
• Kimball relation