✦ LIBER ✦
Bender–Wu formulas and classical trajectories: Higher dimensions and degeneracies
✍ Scribed by J. E. Avron
- Publisher
- John Wiley and Sons
- Year
- 1982
- Tongue
- English
- Weight
- 316 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0020-7608
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✦ Synopsis
Abstract
A method for the asymptotics of the perturbation series (Bender‐Wu formulas) which is not restricted to one dimension is outlined. The method has a classical mechanic flavor and involves computing classical trajectories using classical perturbation methods. The method applies also when the unperturbed eigenvalues are degenerate. It is illustrated for the Hydrogen Zeeman Hamiltonian which is not separable and has degeneracies.