Semiclassical Dynamics and Relaxation

  • D.S.F. Crothers

Part of the Springer Series on Atomic, Optical, and Plasma Physics book series (SSAOPP, volume 47)

Table of contents

  1. Front Matter
    Pages I-XI
  2. D.S.F. Crothers
    Pages 1-20
  3. D.S.F. Crothers
    Pages 21-91
  4. D.S.F. Crothers
    Pages 139-241
  5. D.S.F. Crothers
    Pages 243-303
  6. Back Matter
    Pages 305-342

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.


Dirac equation Theoretical physics atomic collision collision particles quantum mechanics scattering

Authors and affiliations

  • D.S.F. Crothers
    • 1
  1. 1.Department of Applied Mathematics and Theoretical PhysicsQueen’s University of BelfastUK

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