Approximation Methods in Many-Body Perturbation Theory
- 4 March 1966
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 143 (1) , 209-214
- https://doi.org/10.1103/physrev.143.209
Abstract
An analysis of some approximations common in the treatment of many-body systems indicates that the inclusion of large numbers of uncancelled exclusion-principle-violating (EPV) processes leads to meaningless results. We therefore propose as a criterion for the validity of many-body approximations that there should be no such large-scale inclusion of EPV processes. The graphs generated in the BCS theory are analyzed from this point of view.Keywords
This publication has 7 references indexed in Scilit:
- Correlation Effects in AtomsPhysical Review B, 1963
- The Asymptotic Behavior of Perturbation Expansions in Many-Body Problem and Superconducting StateProgress of Theoretical Physics, 1962
- Theory of Strongly Coupled Many-Fermion Systems. I. Convergence of Linked-Cluster ExpansionsPhysical Review B, 1961
- Many-body perturbation methods in a soluble modelNuclear Physics, 1960
- On the summation of generalized ladders for a manyfermion systemNuclear Physics, 1960
- Derivation of the Brueckner many-body theoryProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1957
- The Evaluation of the Collision MatrixPhysical Review B, 1950