# Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae by - pdf epub fb2

**Author:**-

**Title:**Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae

**ISBN:**9810224311

**ISBN13:**978-9810224318

**Other Formats:**docx mobi mobi lrf

**Pages:**280 pages

**Publisher:**World Scientific Publishing Company (February 1, 1996)

**Language:**English

**Category:**Science & Math

**Size PDF version:**1510 kb

**Size EPUB version:**1875 kb

**Subcategory:**Physics

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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.