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Ground-State Energy of a Many-Fermion System. II
Abstract
The perturbation series for the ground-state energy of a many-fermion system is investigated to arbitrary order for the "isotropic" case. This is the case of over-all spherical symmetry, both in the interaction and in the unperturbed single particle energies. It is shown that for spin one-half fermions the Brueckner-Goldstone perturbation series is valid to all orders in the perturbation. For spins greater than one-half it is in general incorrect even in the isotropic case, unless the interactions are spin independent.The discussion to arbitrary order in the interaction is carried out by means of a Feynman-like propagator formalism, which is developed in detail.
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Citations
Cites
Theory of Many-Particle Systems. I
Martin, P. C., & Schwinger, J. (1959) · Physical Review · doi:10.1103/physrev.115.1342 · Cited by 1,816
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Effective action for composite operators
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Nonequilibrium dynamical mean-field theory and its applications
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The nonperturbative functional renormalization group and its applications
Dupuis, N., Canet, L., Eichhorn, A., Metzner, W., Pawlowski, J. M., Tissier, M., & Wschebor, N. (2021) · Physics Reports · doi:10.1016/j.physrep.2021.01.001 · Cited by 660
Metadata
- Authors
- Luttinger, J. M., & Ward, J. C.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1960-06-01
- Volume
- 118
- Issue
- 5
- Pages
- 1417-1427
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W3175629616
- Cited by
- 1,712
- References
- 1
- FWCI
- 19.00
- Type
- journal article
- Language
- en
- Open access
- closed
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- Luttinger, J. M., & Ward, J. C. (1960). Ground-State Energy of a Many-Fermion System. II. Physical Review. https://doi.org/10.1103/physrev.118.1417
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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