Path Integrals Hyperbolic Spaces And Selberg Trace Formulae

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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.

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Genre : Science
Author : Christian Grosche
Publisher : World Scientific
Release : 1996
File : 300 Pages
ISBN-13 : 9810224311


Path Integrals Hyperbolic Spaces And Selberg Trace Formulae

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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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Genre : Mathematics
Author : Christian Grosche
Publisher : World Scientific
Release : 2013
File : 389 Pages
ISBN-13 : 9789814460088


Path Integrals Hyperbolic Spaces And Selberg Trace Formulae 2nd Edition

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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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Genre : Science
Author : Christian Grosche
Publisher : World Scientific
Release : 2013-07-26
File : 389 Pages
ISBN-13 : 9789814460095


Mathematical Reviews

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Genre : Mathematics
Author :
Publisher :
Release : 1997
File : 1164 Pages
ISBN-13 : UOM:39015035721276


Hadronic Journal

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Genre : Hadrons
Author :
Publisher :
Release : 1999
File : 756 Pages
ISBN-13 : UCAL:$B235166


Government Reports Announcements Index

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Genre : Science
Author :
Publisher :
Release : 1995
File : 884 Pages
ISBN-13 : OSU:32435053889820


Inis Atomindex

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Genre : Nuclear energy
Author :
Publisher :
Release : 1995
File : 684 Pages
ISBN-13 : UOM:39015039845592


Journal Of Physics A

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Focuses on fundamental mathematical and computational methods underpinning physics. Relevant to statistical physics, chaotic and complex systems, classical and quantum mechanics, classical and quantum integrable systems and classical and quantum field theory.

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Genre : Mathematical physics
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Publisher :
Release : 1997
File : 814 Pages
ISBN-13 : UCAL:B4491328


American Book Publishing Record

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Genre : American literature
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Publisher :
Release : 1996
File : 1328 Pages
ISBN-13 : UOM:39015079622430


The Cumulative Book Index

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A world list of books in the English language.

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Genre : American literature
Author :
Publisher :
Release : 1997
File : 2312 Pages
ISBN-13 : UOM:39015058373732