PATH INTEGRALS, HYPERBOLIC SPACES AND SELBERG TRACE FORMULAE

Gebonden Engels 1996 9789810224318
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Samenvatting

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.

Specificaties

ISBN13:9789810224318
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:292
Uitgever:World Scientific Publishing Co Pte Ltd

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Inhoudsopgave

Path integrals in quantum mechanics; separable co-ordinate systems; path integrals in pseudo-Euclidean geometry; path integrals in Euclidean spaces; path integrals on spheres; path integrals on hyperboloids; path integration in hyperbolic spaces; billiard systems and periodic orbit theory; the Selberg trace formula; the Selberg super trace formula; summary and discussion.

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€ 83,39
Levertijd ongeveer 11 werkdagen
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          PATH INTEGRALS, HYPERBOLIC SPACES AND SELBERG TRACE FORMULAE