Crothers, D.S.F. <br/><br/>
Semiclassical Dynamics and Relaxation  [recurso electrónico] / 
by D.S.F. Crothers. 
 -  online resource. 
 - Springer Series on Atomic, Optical, and Plasma Physics,  47  1615-5653 ; .
 - Springer Series on Atomic, Optical, and Plasma Physics,  47 .
<br/><br/>Mathematics for the Semiclassicist -- Semiclassical Phase Integrals -- Semiclassical Method for Hyperspherical Coordinate Systems -- Ion-Atom Collisions -- Diffusion in Liquids and Solids. 
<br/><br/> 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. 
<br/><br/><label>ISBN: </label>9780387743134  99780387743134 
<br/><br/><label>Standard No.: </label>10.1007/978-0-387-74313-4  doi 
<br/><br/><label>Subjects--Topical Terms: </label><br/>PHYSICS.<br/>QUANTUM THEORY.<br/>PLASMA (IONIZED GASES).<br/>CONDENSED MATTER.<br/>ENGINEERING.<br/>PHYSICS.<br/>COMPLEXITY.<br/>ATOMS, MOLECULES, CLUSTERS AND PLASMAS.<br/>CONDENSED MATTER.<br/>QUANTUM PHYSICS.