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Leading-order behavior of the correlation energy in the uniform electron gas

✍ Scribed by Pierre-François Loos; Peter M. W. Gill

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
87 KB
Volume
112
Category
Article
ISSN
0020-7608

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✦ Synopsis

Abstract

We show that, in the high‐density limit, restricted Møller‐Plesset (RMP) perturbation theory yields E = π^−2^(1 − ln 2) ln r~s~ + O(r) for the correlation energy per electron in the uniform electron gas, where r~s~ is the Seitz radius. This contradicts an earlier derivation which yielded E = O(ln|ln r~s~|). The reason for the discrepancy is explained. © 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2012

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## Abstract An approximate fourth‐order expression for the electron correlation energy in the Møller–Plesset perturbation scheme is proposed. It takes into account all the contributions to the fourthorder energy neglecting only those of the triple‐substituted determinants. It is size consistent and