General scheme of splittings of degenerate eigensubspaces and eigenelements of self-adjoint operators in high orders of perturbation theory
| Autor: | Mikhail P. Dyachenko, A. Ya. Tsaune |
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| Rok vydání: | 2000 |
| Předmět: |
Operator (computer programming)
Ladder operator Mathematical analysis Degenerate energy levels MathematicsofComputing_NUMERICALANALYSIS Statistical and Nonlinear Physics Perturbation theory (quantum mechanics) Mathematical Physics Eigenvalues and eigenvectors Eigenvalue perturbation Self-adjoint operator Subspace topology Mathematics |
| Zdroj: | Journal of Mathematical Physics. 41:5793-5813 |
| ISSN: | 1089-7658 0022-2488 |
| DOI: | 10.1063/1.533438 |
| Popis: | The possibility of arbitrary alternation of splitting and nonsplitting orders is taken into consideration through the idea of a stage of perturbation theory. In every order an eigenvalue equation is to be solved; its effective operator is obtained by means of a unified scheme from the operator of the previous order. The complete aggregate of subspace splittings leads to the correct set of eigenvectors of zero approximation. Expressions of any order corrections for the correct vectors leading to eigenvectors of a perturbed operator are obtained and discussed. |
| Databáze: | OpenAIRE |
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