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Semiclassical Dynamics and Relaxation

By: Crothers, D.S.F [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Springer Series on Atomic, Optical, and Plasma Physics: 47Publisher: New York, NY : Springer New York, 2008.Description: XII, 344 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9780387743134.Subject(s): Physics | Quantum physics | Atoms | Condensed matter | Statistical physics | Dynamical systems | Physics | Statistical Physics, Dynamical Systems and Complexity | Atomic, Molecular, Optical and Plasma Physics | Condensed Matter Physics | Quantum PhysicsDDC classification: 621 Online resources: Click here to access online
Contents:
Mathematics for the Semiclassicist -- Semiclassical Phase Integrals -- Semiclassical Method for Hyperspherical Coordinate Systems -- Ion–Atom Collisions -- Diffusion in Liquids and Solids.
In: Springer eBooksSummary: 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.
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E books E books PK Kelkar Library, IIT Kanpur
Available EBK8098
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Mathematics for the Semiclassicist -- Semiclassical Phase Integrals -- Semiclassical Method for Hyperspherical Coordinate Systems -- Ion–Atom Collisions -- Diffusion in Liquids and Solids.

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.

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