A set of non-lmear cqustlons LS given winch solves the stationary Schrodmgcr equalion III terms of a known subproblem. An ItemlIve solution of the equations ylclds the degenerate version of Raylegh-SchrBdmgcr perturbation theory, but olhcr approxunatlon schemes, as well as a purely numerIca solullon
A diagrammatic interpretation of formal Rayleigh—Schrödinger perturbation theory
✍ Scribed by Valdimír Kvasnička
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 751 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0009-2614
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✦ Synopsis
A diagammatic,interprct~tion of the formal (i.e.; without second quantization ~ormalismj quasi-degenerate Rayleigh-Sciuiidinger perturbation theory with non-hem+ian model hamiltonian is suggested. fn this appro&.
:
the diagrammatic expressions for the Bloch wave operator U as well as for the model interaction operator GRS are obtained. in the framework of the suggested grapholofy it is pdssib!e to perform a detailed study of the aI.gebraic
.'
structure of individual perturbation contributions. The present diagram'matic approach has some general features of Brandow's folded-diagram method initially introduced in order to construct the many-body degenerate Rayleigh-' SchrGdinger pe~urbation theory.
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