Perturbation theory for degenerate states of atomic and molecular systems
✍ Scribed by L. N. Ivanov; U. I. Safronova
- Publisher
- John Wiley and Sons
- Year
- 1975
- Tongue
- English
- Weight
- 369 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0020-7608
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✦ Synopsis
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 for the function. The results are used to calculate energies of the ground and some excited states and multiplet splittings of some beryllium‐like ions.
📜 SIMILAR VOLUMES
## 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
## 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 “stability” of proper linear combinations with respec