Semiclassical Dynamics and Relaxation [electronic resource] /
Crothers, D.S.F.author.
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.
Description based upon print version of record.
Includes bibliographical references (p. [321]-335) and index.
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.
Statistical physics.
Dynamical systems.
Atoms.
Physics.
Condensed matter.
Quantum physics.
Complex Systems.
Atomic, Molecular, Optical and Plasma Physics.
Condensed Matter Physics.
Quantum Physics.
Statistical Physics and Dynamical Systems.
Springer Series on Atomic, Optical, and Plasma Physics