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Derivation of the Brueckner many-body theory
Abstract
An exact formal solution is obtained to the problem of a system of fermions in interaction. This solution is expressed in a form which avoids the problem of unlinked clusters in manybody theory. The technique of Feynman graphs is used to derive the series and to define linked terms. The graphs are those appropriate to a system of many fermions and are used to give a new derivation of the Hartree-Fock and Brueckner methods for this problem.
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Citations
Cited by
Coupled-cluster theory in quantum chemistry
Bartlett, R. J., & Musiał, M. (2007) · Reviews of Modern Physics · doi:10.1103/revmodphys.79.291 · Cited by 3,343
Theory of Many-Particle Systems. I
Martin, P. C., & Schwinger, J. (1959) · Physical Review · doi:10.1103/physrev.115.1342 · Cited by 1,816
Random-phase approximation and its applications in computational chemistry and materials science
Ren, X., Rinke, P., Joas, C., & Scheffler, M. (2012) · Journal of Materials Science · doi:10.1007/s10853-012-6570-4 · Cited by 610
Electron Self-Energy Approach to Correlation in a Degenerate Electron Gas
Quinn, J. J., & Ferrell, R. A. (1958) · Physical Review · doi:10.1103/physrev.112.812 · Cited by 417
Use of Cluster Expansion Methods in the Open-Shell Correlation Problem
Mukherjee, D., & Pal, S. (1989) · Advances in Quantum Chemistry · doi:10.1016/s0065-3276(08)60629-2 · Cited by 403
Metadata
- Authors
- Goldstone, J.
- Venue
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Publisher
- The Royal Society
- Published
- 1957-02-26
- Volume
- 239
- Issue
- 1217
- Pages
- 267-279
- ISSN
- 0080-4630 (ISSN-L)
- 2053-9169
- OpenAlex
- W2113448580
- Cited by
- 1,264
- References
- 0
- FWCI
- 17.50
- Type
- journal article
- Language
- en
- Open access
- closed
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- Goldstone, J. (1957). Derivation of the Brueckner many-body theory. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. https://doi.org/10.1098/rspa.1957.0037
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