Springer Series on Atomic, Optical, and Plasma Physics

Semiclassical Dynamics and Relaxation

Authors: Crothers, D.S.F.

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  • To contain a rigorous and complete discussion of the mathematics of semiclassical theory to condensed-matter physics

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About this book

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 authors

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)

 

Reviews

From the reviews:

“This book is based on some lectures given by the author to postgraduate Ph.D. students at the Centre for Atomic, Molecular and Optical Physics, School of Mathematics and Physics, of Queen’s University Belfast, and reflects the author’s research interests. … At the end of the book, the reader will find a very rich list of references. The book is very instructive, both to physicists and mathematicians, in that it gives many important instances of the use of the fundamental technique of semiclassical approximation.”­­­ (Alberto Parmeggiani, Mathematical Reviews, Issue 2011 d)

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-0-387-74313-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.99
price for USA in USD
  • ISBN 978-0-387-74312-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.99
price for USA in USD
  • ISBN 978-1-4419-2554-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Semiclassical Dynamics and Relaxation
Authors
Series Title
Springer Series on Atomic, Optical, and Plasma Physics
Series Volume
47
Copyright
2008
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-74313-4
DOI
10.1007/978-0-387-74313-4
Hardcover ISBN
978-0-387-74312-7
Softcover ISBN
978-1-4419-2554-1
Series ISSN
1615-5653
Edition Number
1
Number of Pages
XII, 344
Topics