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Correlation energy of an electron gas at high density

Gell-Mann, Murray and Brueckner, Keith A. (1957) Correlation energy of an electron gas at high density. Physical Review, 106 (2). pp. 364-368. ISSN 0031-899X. doi:10.1103/PhysRev.106.364.

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The quantity εc is defined as the correlation energy per particle of an electron gas expressed in rydbergs. It is a function of the conventional dimensionless parameter rs, where rs-3 is proportional to the electron density. Here εc is computed for small values of rs (high density) and found to be given by εc=Alnrs+C+O(rs). The value of A is found to be 0.0622, a result that could be deduced from previous work of Wigner, Macke, and Pines. An exact formula for the constant C is given here for the first time; earlier workers had made only approximate calculations of C. Further, it is shown how the next correction in rs can be computed. The method is based on summing the most highly divergent terms of the perturbation series under the integral sign to give a convergent result. The summation is performed by a technique similar to Feynman's methods in field theory.

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Additional Information:©1957 The American Physical Society. Received 14 December 1956. The authors would like to thank Dr. Richard Latter for many valuable discussions and Mr. J. I. Marcum and Mr. H. Kahn for the Monte Carlo computation of εb(2).
Issue or Number:2
Record Number:CaltechAUTHORS:GELpr57b
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3713
Deposited By: Tony Diaz
Deposited On:29 Jun 2006
Last Modified:08 Nov 2021 20:11

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