DOI: 10.1098/rspa.1958.0036. The description of collective motions in terms of many-body perturbation theory III. The extension of the theory to the non-uniform gas

The description of collective motions in terms of many-body perturbation theory III. The extension of the theory to the non-uniform gas

10.1098/rspa.1958.0036

Crossref journal-article

The Royal Society

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences (175)

Abstract

The theory previously developed and applied to calculate the correlation energy of a free-electron gas is extended in this paper to calculate the energy of an electron gas in a potential field. Two new features arise: (i) the introduction of a self-consistent field which is a generalization of the ordinary Hartree field; (ii) the occurrence of ‘local field correction’ effects. It is shown that the energy of the gas can be expressed in terms of the eigenvalues of a certain homogeneous integral equation and a stationary principle for these eigenvalues is given. The theory is applied to crystals and an approximate expression for the correlation energy of a metal is derived neglecting Lorentz-Lorenz corrections effects.

Bibliography

The description of collective motions in terms of many-body perturbation theory III. The extension of the theory to the non-uniform gas. (1958). Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 244(1237), 199â211.

Authors 0

None

References 6 Referenced 73

10.1103/PhysRev.92.609
{'key': 'p_2', 'first-page': '89', 'article-title': 'Proc', 'volume': '24', 'year': '1928', 'journal-title': 'Carnb. Soc.'} / Carnb. Soc. / Proc (1928)
10.1088/0370-1298/68/11/304
{'key': 'p_4', 'first-page': '539', 'article-title': 'Proc. Roy', 'volume': '240', 'year': '1957', 'journal-title': 'Soc. A'} / Soc. A / Proc. Roy (1957)
{'key': 'p_5', 'first-page': '336', 'article-title': 'Proc. Roy', 'volume': '243', 'year': '1958', 'journal-title': 'Soc. A'} / Soc. A / Proc. Roy (1958)
L ovitt W. V. 1924 Linear integral equations. New Y ork: McGraw-Hill.

Dates

Type	When
Created	18 years, 8 months ago (Dec. 15, 2006, 1:43 p.m.)
Deposited	4 years, 6 months ago (Feb. 17, 2021, 11:05 p.m.)
Indexed	1 year, 6 months ago (Feb. 10, 2024, 7:26 a.m.)
Issued	67 years, 5 months ago (March 11, 1958)
Published	67 years, 5 months ago (March 11, 1958)
Published Online	28 years, 7 months ago (Jan. 1, 1997)
Published Print	67 years, 5 months ago (March 11, 1958)

Funders 0

None

BibTeX

@article{1958, volume={244}, ISSN={2053-9169}, url={http://dx.doi.org/10.1098/rspa.1958.0036}, DOI={10.1098/rspa.1958.0036}, number={1237}, journal={Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences}, publisher={The Royal Society}, year={1958}, month=mar, pages={199–211} }

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