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The application of analytical methods in degenerate perturbation theory

✍ Scribed by A. G. Makhanek; V. S. Korol'kov; A. F. Fedorov

Publisher
Springer US
Year
1974
Tongue
English
Weight
330 KB
Volume
21
Category
Article
ISSN
0021-9037

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πŸ“œ SIMILAR VOLUMES

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## Abstract An adiabatic formula for the contracted Hamiltonian in a reference space containing bound‐state eigenfunctions of degenerate energy levels embedded in the continuum is derived. A general factorization theorem for the dynamic operator__S__~Ξ±~(0, – ∞/Ξ») is proved, and the cancellation of

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## Abstract Adiabatic formulae for secular operators and contracted Hamiltonians in an arbirary combination of degenerate or quasidegenerate subspaces are derived. A detailed consideration of the adiabatic limit in the power series is given, and β€œstability” of proper linear combinations with respec

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We apply renormalized perturbation theory by the moment method to an anharmonic oscillator in two dimensions with a perturbation that couples unperturbed degenerate states. The method leads to simple recurrence relations for the perturbation corrections to the energy and moments of the eigenfunction