Degenerate states perturbation theory and continued fractions
✍ Scribed by F.M. Ferrnandez; E.A. Castro
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 166 KB
- Volume
- 84
- Category
- Article
- ISSN
- 0009-2614
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📜 SIMILAR VOLUMES
## Abstract The first few terms of the perturbation expansions for the function and the energy shift of a degenerate state of an arbitrary quantum mechanical system are obtained using the adiabatic formula. It is shown how the expansion for the secular operator may be obtained from the expansion fo
## 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__~α~(0, – ∞/λ) is proved, and the cancellation of
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