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Adiabatic perturbation theory for the degenerate case. I. Perturbation of isolated degenerate or quasidegenerate levels

✍ 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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✦ 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 β€œstability” of proper linear combinations with respect to a transformation produced by the S~Ξ±~‐matrix is proved.


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Adiabatic perturbation theory for the de
✍ Yuri Dmitriev πŸ“‚ Article πŸ“… 1975 πŸ› John Wiley and Sons 🌐 English βš– 315 KB

## 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