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Adiabatic perturbation theory for the degenerate case. II. Perturbation of degenerate bound states embedded in the continuum

✍ Scribed by Yuri Dmitriev

Publisher
John Wiley and Sons
Year
1975
Tongue
English
Weight
315 KB
Volume
9
Category
Article
ISSN
0020-7608

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✦ Synopsis

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 the pole singularities in the perturbation series of the contracted Hamiltonian in adiabatic form is discussed.

πŸ“œ SIMILAR VOLUMES

Adiabatic perturbation theory for the de
Adiabatic perturbation theory for the degenerate case. I. Perturbation of isolated degenerate or quasidegenerate levels
✍ Yuri Dmitriev πŸ“‚ Article πŸ“… 1975 πŸ› John Wiley and Sons 🌐 English βš– 455 KB

## 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 respec