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Adiabatic Perturbation Theory and Geometric Phases for Degenerate Systems

✍ Scribed by Rigolin, Gustavo; Ortiz, Gerardo

Book ID
121226486
Publisher
The American Physical Society
Year
2010
Tongue
English
Weight
109 KB
Volume
104
Category
Article
ISSN
0031-9007

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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

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

On the adiabatic perturbation theory for
On the adiabatic perturbation theory for systems with impacts
✍ I.V. Gorelyshev; A.I. Neishtadt πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 282 KB

A basis for the applicability of the formal scheme of adiabatic perturbation theory for systems with impacts is given using the example of three well-known problems, namely, a small sphere between slowly moving walls, rays in a smoothly irregular waveguide with reflecting walls, and an adiabatic pis