Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae (Hardcover) (ISBN-13: 9789810224318)

In this volume, a comprehensive review is given for path integration in two- and three-dimensional homogeneous spaces of constant curvature, including an enumeration of all coordinate systems which allow separation of variables in the Hamiltonian and in the path integral. The corresponding path integral solutions are presented as a tabulation.In addition, an overview is presented on some recent achievements in the theory of the Selberg trace formula on Riemann surfaces, its super generalization, and their use in mathematical physics and quantum chaos.The volume also contains results on the study of the properties of a particular integrable billiard system in the hyperbolic plane, a proposal concerning interbasis expansions for spheroidal coordinate systems in four-dimensional Euclidean space, and some further results derived from the Selberg (super-) trace formula.

Author: Christian Grosche
ISBN-10: 9810224311
ISBN-13: 9789810224318
Publisher: World Scientific Publishing Company
Language: English
Published: 02/01/1996
Pages: 292
Format: Hardcover