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portada path integrals, hyperbolic spaces and selberg trace formulae: 2nd edition
Type
Physical Book
Author
Publisher
Year
2013
Language
English
Pages
388
Format
Hardcover
Dimensions
23.1x15.5x2.5 cm
Weight
0.72 kg.
ISBN
9814460079
ISBN13
9789814460071
Edition No.
0002
Categories

path integrals, hyperbolic spaces and selberg trace formulae: 2nd edition

Christian Grosche (Author) · World Scientific Publishing Company · Hardcover

path integrals, hyperbolic spaces and selberg trace formulae: 2nd edition - Grosche, Christian

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Synopsis "path integrals, hyperbolic spaces and selberg trace formulae: 2nd edition"

In this second edition, a comprehensive review is given for path integration in two- and three-dimensional (homogeneous) spaces of constant and non-constant curvature, including an enumeration of all the corresponding 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. Proposals concerning interbasis expansions for spheroidal coordinate systems are also given. In particular, the cases of non-constant curvature Darboux spaces are new in this edition.The volume also contains results on the numerical study of the properties of several integrable billiard systems in compact domains (i.e. rectangles, parallelepipeds, circles and spheres) in two- and three-dimensional flat and hyperbolic spaces. In particular, the discussions of integrable billiards in circles and spheres (flat and hyperbolic spaces) and in three dimensions are new in comparison to the first edition.In addition, an overview is presented on some recent achievements in the theory of the Selberg trace formula on Riemann surfaces, its super generalization, their use in mathematical physics and string theory, and some further results derived from the Selberg (super-) trace formula.

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