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The Pair Correlation Function and the Dielectric Response in the Homogeneous Electron Gas
Author(s) -
Brosens F.,
Lemmens L. F.,
Devreese J. T.
Publication year - 1977
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220820110
Subject(s) - fermi gas , homogeneous , limit (mathematics) , inverse , dielectric function , correlation function (quantum field theory) , function (biology) , physics , dielectric , correlation , electron , local field , dielectric response , mathematics , quantum mechanics , mathematical analysis , statistical physics , quantum electrodynamics , condensed matter physics , geometry , evolutionary biology , biology
Abstract Recent developments in the theory of the homogeneous electron gas relate the pair correlation function g(0) at the origin to a) the static limit of the exchange and correlation effects as well as to b) an integral over frequencies of the inverse dielectric function. It is shown that any static local field correction violates at least one of both the conditions, and that from the frequency‐dependent treatment of exchange, only the variational approach satisfies both the requirements.