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Semiclassical Dynamics and Relaxation
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Semiclassical Dynamics and Relaxation Paperback - 2007

by D.S. F. Crothers

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Springer, 2007. Paperback. New. 342 pages. 9.00x6.00x0.81 inches.
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From the publisher

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

From the rear cover

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.

About the author

The author is an expert in quantum dynamics and the processes of atomic collisions over 42 years and he has developed the mathematics of the semiclassical theory over 18 years and has applied this to condensed-matter physics. He is currently a Professor of Theoretical Physics in the Department of Applied Mathematics and Theoretical Physics at The Queen's University of Belfast. He has also been appointed Local Chair for the International Conference for Photonic, Electronic and Atomic Collisions in Belfast. Dr. Crothers other honors and memberships include:

Personal Chair in Theoretical Physics - Queens University (1985- )

Readership in Applied Mathematics and Theoretical Physics - Queen's University (1976-1985)

Lecturer in Applied Mathematics - Queen's University (1966-1976)

Fellow of American Physical Society (1994)

Fellow of Institute of Physics (1973)

Fellow of Institute of Mathematics and its Applications (1973)

Fellow of Institution of Electrical Engineers (1997)

Member of the Royal Irish Academy (1991)

Honorary Professor, Physics, St. Petersburg State University (2003)

Belfast Local Chair, ICPEAC XXVII, 2011 (2005)

Honorary Fellow, Trinity College Dublin (2006)