Spinning Particles-Semiclassics and Spectral Statistics

ISBN-13: 9783642056789 / Angielski / Miękka / 2010 / 192 str.

Stefan Keppeler

Opis

The main theme of this book is semiclassical methods for systems with spin, in particular methods involving trace formulae and torus quantisation and their applications in the theory of quantum chaos, e.g. the characterisation of spectral correlations. The theoretical tools developed here not only have immediate applications in the theory of quantum chaos - which is the second focus of the book - but also in atomic and mesoscopic physics. Thus the intuitive understanding of semiclassical spin dynamics will also be helpful in emerging subjects like spintronics and quantum computation.

Spis treści

Introduction.- Warming up: Oscillators.- Trace Formulae with Spin.- Classical Dynamics of Spinning Particles - the Skew Product.- Torus Quantisation.- Classical Sum Rules.- Spectral Statistics and Spin.-Appendices.- Index.

Blurb

The book deals with semiclassical methods for systems with spin, in particular methods involving trace formulae and torus quantisation and their applications in the theory of quantum chaos, e.g. the characterisation of spectral correlations. The theoretical tools developed here not only have immediate applications in the theory of quantum chaos - which is the second focus of the book - but also in atomic and mesoscopic physics. Thus the intuitive understanding of semiclassical spin dynamics will also be helpful in emerging subjects like spintronics and quantum computation.