With evermore sophisticated experiments, it has become equally more importantto test theory over a wider range of parameters. For instance, at low impact energies in heavy-particle collisions, the inverse velocity is a large parameter; in single-domain ferromagnetism, thermal agitation (including Brownian motion and continuous-time random walks) is faced with a barrier of height 'sigma', a possibly large parameter. Methods of solution include phase-integral analysis, integral transforms and change-of-dependent variable. We shall consider the Schrödinger time-independent and time-dependent equations, the Dirac equation, the Fokker Planck equation, the Langevin equation and the equations of Einstein's classical general relativity equations. There is an increasing tendency among physicists to decry applied mathematics and theoretical physics in favour of computational blackboxes. The era of the polymath has passed. This book shows the relevance to, and impact of theory on, laboratory scientists. Contains a rigorous and complete discussion of the mathematics of semiclassical theory to condensed-matter physics INDICE: Mathematics for the Semiclassicist.- Semiclassical Phase Integral.- Semiclassical Methods for Hyperspherical Coordinate Systems.- Ion-Atom Collisions.- Diffusion in Liquids and Solids.- Continued Fraction Solutions of Eq. (5.301).- Mittag-Leffler Fuctions.- Nonlinear Response to Alternating Fields.-References.- Index.
- ISBN: 978-0-387-74312-7
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 342
- Fecha Publicación: 01/04/2008
- Nº Volúmenes: 1
- Idioma: Inglés