## Abstract An adiabatic formula for the contracted Hamiltonian in a reference space containing boundβstate eigenfunctions of degenerate energy levels embedded in the continuum is derived. A general factorization theorem for the dynamic operator__S__~Ξ±~(0, β β/Ξ») is proved, and the cancellation of
β¦ LIBER β¦
Adiabatic perturbation theory for the degenerate case. I. Perturbation of isolated degenerate or quasidegenerate levels
β Scribed by Yuri Dmitriev
- Publisher
- John Wiley and Sons
- Year
- 1975
- Tongue
- English
- Weight
- 455 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0020-7608
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β¦ Synopsis
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 βstabilityβ of proper linear combinations with respect to a transformation produced by the S~Ξ±~βmatrix is proved.
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