Abstract
The effect of correlations on effective interactions in the electron gas is studied. It is argued that because of the strong correlations at short distances, two-body terms make up the dominant contribution to the effective electron-electron interaction for small separations. An interpolated effective electron-electron interaction is proposed which is approximately correct for all separations. This interaction incorporates both the two-body short-distance correlation effects, and the well-known many-body collective behavior at large separations. A number of metallic properties including cohesive energies and plasmon dispersion curves are calculated using this effective interaction, and all are found to be in remarkable agreement with the results of Singwi, Tosi, Land, and Sj\"olander who calculated the effects of the short-distance correlations using a quite different method.
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