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The Rayleigh-Schrodinger perturbation and the linked-diagram theorem for a multi-configurational model space
Abstract
The Rayleigh-Schrodinger perturbation formalism is extended to the case of a model space, which is not necessarily degenerate. The model space defines the zero-order or model wavefunction, and the new formalism makes it possible to use a model wavefunction of multi-configurational type. The effect of the states outside the model space are taken into account by means of a perturbation expansion and expressed in terms of an 'effective' Hamiltonian, operating only within the model space. The extended Rayleigh Schrodinger formalism is used to prove the linked-diagram theorem for a multi-configurational model space in a simple way. The problem of convergence of the perturbation expansion is briefly discussed.
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Cites
Messiah, A. (1961) · Cited by 16,012
Unified theory of nuclear reactions
Feshbach, H. (1958) · Annals of Physics · doi:10.1016/0003-4916(58)90007-1 · Cited by 2,978
A unified theory of nuclear reactions. II
Feshbach, H. (1962) · Annals of Physics · doi:10.1016/0003-4916(62)90221-x · Cited by 2,864
Feynman, R. P. (1949) · Physical Review · doi:10.1103/physrev.76.749 · Cited by 1,296
Linked-Cluster Expansions for the Nuclear Many-Body Problem
BRANDOW, B. H. (1967) · Reviews of Modern Physics · doi:10.1103/revmodphys.39.771 · Cited by 1,273
Derivation of the Brueckner many-body theory
Goldstone, J. (1957) · Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences · doi:10.1098/rspa.1957.0037 · Cited by 1,264
Many-Body Problem for Strongly Interacting Particles. II. Linked Cluster Expansion
Brueckner, K. A. (1955) · Physical Review · doi:10.1103/physrev.100.36 · Cited by 770
Sur la théorie des perturbations des états liés
Bloch, C. (1958) · Nuclear Physics · doi:10.1016/0029-5582(58)90116-0 · Cited by 674
Kelly, H. P. (1963) · Physical Review · doi:10.1103/physrev.131.684 · Cited by 527
Extension d'une formule de Lagrange à des problèmes de valeurs propres
des Cloizeaux, J. (1960) · Nuclear Physics · doi:10.1016/0029-5582(60)90177-2 · Cited by 360
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(2013) · Quantum Field Theory and the Standard Model · doi:10.1017/9781139540940.014 · Cited by 3,230
Malrieu, J. P., Caballol, R., Calzado, C. J., de Graaf, C., & Guihéry, N. (2014) · Chemical Reviews · doi:10.1021/cr300500z · Cited by 434
Mahapatra, U. S., Datta, B., & Mukherjee, D. (1999) · The Journal of Chemical Physics · doi:10.1063/1.478523 · Cited by 425
A state-selective multireference coupled-cluster theory employing the single-reference formalism
Piecuch, P., Oliphant, N., & Adamowicz, L. (1993) · The Journal of Chemical Physics · doi:10.1063/1.466179 · Cited by 345
Combination of the many-body perturbation theory with the configuration-interaction method
Dzuba, V. A., Flambaum, V. V., & Kozlov, M. G. (1996) · Physical Review A · doi:10.1103/physreva.54.3948 · Cited by 327
Metadata
- Authors
- Lindgren, I.
- Venue
- Journal of Physics B: Atomic and Molecular Physics
- Publisher
- IOP Publishing
- Published
- 1974-12-21
- Volume
- 7
- Issue
- 18
- Pages
- 2441-2470
- ISSN
- 0022-3700 (ISSN-L)
- OpenAlex
- W2017109347
- Cited by
- 458
- References
- 16
- FWCI
- 5.84
- Type
- journal article
- Language
- en
- Open access
- closed
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- Lindgren, I. (1974). The Rayleigh-Schrodinger perturbation and the linked-diagram theorem for a multi-configurational model space. Journal of Physics B: Atomic and Molecular Physics. https://doi.org/10.1088/0022-3700/7/18/010
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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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