Semiclassical Dynamics and Relaxation

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Springer Series on Atomic, Optical, and Plasma Physics 47

ISBN: 1441925546
ISBN 13: 9781441925541
Autor: Crothers, D S F
Verlag: Springer Verlag GmbH
Umfang: xii, 344 S., 56 s/w Illustr.
Erscheinungsdatum: 19.11.2010
Auflage: 1/2008
Produktform: Kartoniert
Einband: KT

This text concerns ’semiclassical‘ within various meanings. These include the familiar JWKB approximation and its phase-integral generalizations in Chapter 2 to two and four transition points with or without one or two poles: by corollary, crossing and non-crossing nonadiabatic collision theory. Above and below threshold Wannier ionization is covered in Chapter 3 where the large parameters are the inverses of the variation of the hyperspherical angles from their ridge values. The more familiar impact parameter treatment, in which the possibly relativistic heavy-particle relative motion is treated classically and the electrons quantally, is well covered in Chapter 4. Diffusion in solids and liquids is described in Chapter 5 where typically the large parameter is the height of the barrier which is overcome by thermal agitation. Hypergeometric functions are introduced in Chapter 1 and Mittag-Leffler functions in Appendix B.

Artikelnummer: 1527564 Kategorie:

Beschreibung

InhaltsangabeMathematics for the Semiclassicist.- Semiclassical Phase Integrals.- Semiclassical Method for Hyperspherical Coordinate Systems.- Ion-Atom Collisions.- Diffusion in Liquids and Solids.

Inhaltsverzeichnis

Mathematics for the Semiclassicist.- Semiclassical Phase Integral.- Semiclassical Methods for Hyperspherical Coordinate Systems.- Ion-Atom Collisions.- Diffusion in Liquids and Solids.- Continued Fraction Solutions of Eq. (5.301).- Mittag-Leffler Fuctions.- Nonlinear Response to Alternating Fields.- References.- Index.

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