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1 Christian Grosche Path integrals, hyperbolic spaces and selberg trace formulae 025135 2013 Book  
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TitlePath integrals, hyperbolic spaces and selberg trace formulae
Author(s)Christian Grosche
Edition2nd.
PublicationNew Jersey, World Scientific Publishing Co. Pvt. Ltd., 2013.
Descriptionxvi, 372p.
Abstract NoteIn 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 discussion of integrable billiards in circles and spheres (flat and hyperbolic space) 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.
ISBN,Price9789814460071 : Rs. 6156.00(HB)
Classification530.145
Keyword(s)1. EBOOK 2. EBOOK - WORLD SCIENTIFIC 3. HYPERBOLIC SPACES 4. PATH INTEGRALS 5. QUANTUM MECHANICS 6. SELBERG TRACE FORMULAE
Item TypeBook
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Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
025135   530.145/GRO/025135  On Shelf    
OB1250   530.145/GRO/  On Shelf    

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