DOI: 10.1098/rspa.1957.0106. The description of collective motions in terms of many-body perturbation theory

The description of collective motions in terms of many-body perturbation theory

10.1098/rspa.1957.0106

Crossref journal-article

The Royal Society

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

Abstract

In this and a succeeding paper it is shown how a theory equivalent to the Bohm & Pines collective motion theory of the electron plasma can be derived directly from a perturbation series which gives in principle an exact solution of the many-body problem. This result is attained by making use of a diagrammatic method of analysis of the perturbation series. By a process analogous to the elimination of photon self-energy parts from the electrodynamic S matrix it is found possible to simplify the perturbation series, introducing a modified interaction between the particles. A useful integral equation for this modified interaction can be set up, and it is shown how the energy of the system can be expressed in terms of the modified interaction. The close connexion between this approach and the dielectric theory of plasma oscillations is indicated.

Bibliography

The description of collective motions in terms of many-body perturbation theory. (1957). Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 240(1223), 539â560.

Authors 0

None

References 14 Referenced 459

{'key': 'p_1', 'author': 'Bohm D.', 'year': '1953', 'journal-title': 'Phys. Rev. 609.'} / Phys. Rev. 609. by Bohm D. (1953)
Bohr A. & Mottelson B. R . 1953 P an. M at. Fys. Medd. 27 no. 16.
10.1103/PhysRev.100.36
10.1103/PhysRev.75.1736
10.1088/0370-1298/68/6/308
10.1103/PhysRev.84.350
{'key': 'p_7', 'first-page': '267', 'article-title': 'Proc. Roy', 'volume': '239', 'author': 'Goldstone J .', 'year': '1957', 'journal-title': 'Soc. A'} / Soc. A / Proc. Roy by Goldstone J . (1957)
10.1088/0370-1298/68/5/413
{'key': 'p_9', 'first-page': '976', 'article-title': '6 Proc', 'volume': '68', 'year': '1955', 'journal-title': 'Phys. Soc. A'} / Phys. Soc. A / 6 Proc (1955)
H ubbard J . 1957 (In preparation).
M ott N. F . 1954 Proc. 10 thSolvay Congr. Bruxelles.
10.1143/ptp/9.5.550
10.1143/PTP.13.467
10.1103/PhysRev.80.268

Dates

Type	When
Created	18 years, 8 months ago (Dec. 15, 2006, 4:38 p.m.)
Deposited	4 years, 6 months ago (Feb. 14, 2021, 11:54 a.m.)
Indexed	2 weeks, 6 days ago (Aug. 2, 2025, 1:15 a.m.)
Issued	68 years, 1 month ago (July 16, 1957)
Published	68 years, 1 month ago (July 16, 1957)
Published Online	28 years, 7 months ago (Jan. 1, 1997)
Published Print	68 years, 1 month ago (July 16, 1957)

Funders 0

None

BibTeX

@article{1957, volume={240}, ISSN={2053-9169}, url={http://dx.doi.org/10.1098/rspa.1957.0106}, DOI={10.1098/rspa.1957.0106}, number={1223}, journal={Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences}, publisher={The Royal Society}, year={1957}, month=jul, pages={539–560} }

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