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.
- ISBN10 1299833284
- ISBN13 9781299833289
- Publish Date 1 January 2013 (first published 1 January 1996)
- Publish Status Active
- Out of Print 25 February 2015
- Publish Country US
- Imprint World Scientific Publishing Company
- Edition 2nd Revised ed.
- Format eBook
- Language English