TY  - BOOK
AU  - Crothers,D.S.F.
ED  - SpringerLink (Online service)
TI  - Semiclassical Dynamics and Relaxation
T2  - Springer Series on Atomic, Optical, and Plasma Physics,
SN  - 9780387743134
PY  - 2008///
CY  - New York, NY
PB  - Springer New York
KW  - PHYSICS
KW  - QUANTUM THEORY
KW  - PLASMA (IONIZED GASES)
KW  - CONDENSED MATTER
KW  - ENGINEERING
KW  - COMPLEXITY
KW  - ATOMS, MOLECULES, CLUSTERS AND PLASMAS
KW  - QUANTUM PHYSICS
N1  - Mathematics for the Semiclassicist -- Semiclassical Phase Integrals -- Semiclassical Method for Hyperspherical Coordinate Systems -- Ion-Atom Collisions -- Diffusion in Liquids and Solids
N2  - 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
UR  - http://dx.doi.org/10.1007/978-0-387-74313-4
ER  -