Abstract
The pair-correlation function p(0), at r = 0, of an electron gas is derived by a partial-wave, phase-shift analysis. The dependence of p(0) on rs, the radius of the sphere (in Bohr units) containing on average one electron, is found to be 32/(8 + 3rs)2. This analytic result, obtained with the help of a simplifying approximation, is compared with several numerical calculations. An improved formula is also derived. p(0) is an important parameter in theories of charge response or spin response whenever a perturbation, ~cos qx, has a small wave length, i.e., [Formula: see text]. Electron–electron scattering depends on both response functions and, consequently, also on p(0).
Publisher
Canadian Science Publishing
Subject
General Physics and Astronomy
Cited by
72 articles.
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