Semiclassical Dynamics and Relaxation. 1st ed. 2008
- 種類:
- 電子ブック
- 責任表示:
- by D.S.F. Crothers
- 出版情報:
- New York, NY : Springer New York : Imprint: Springer, 2008
- 著者名:
- シリーズ名:
- Springer Series on Atomic, Optical, and Plasma Physics ; 47
- ISBN:
- 9780387743134 [0387743138]
- 注記:
- 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. - ローカル注記:
- 学内専用E-BOOKS (local access only)
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