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Book Path Integrals  Hyperbolic Spaces and Selberg Trace Formulae

Download or read book Path Integrals Hyperbolic Spaces and Selberg Trace Formulae written by Christian Grosche and published by World Scientific. This book was released on 2013 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book The path integral on the Poincar   upper half plane and for Liouville quantum mechanics

Download or read book The path integral on the Poincar upper half plane and for Liouville quantum mechanics written by Christian Grosche and published by . This book was released on 1987 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Emerging Applications of Number Theory

Download or read book Emerging Applications of Number Theory written by Dennis A. Hejhal and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 693 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most people tend to view number theory as the very paradigm of pure mathematics. With the advent of computers, however, number theory has been finding an increasing number of applications in practical settings, such as in cryptography, random number generation, coding theory, and even concert hall acoustics. Yet other applications are still emerging - providing number theorists with some major new areas of opportunity. The 1996 IMA summer program on Emerging Applications of Number Theory was aimed at stimulating further work with some of these newest (and most attractive) applications. Concentration was on number theory's recent links with: (a) wave phenomena in quantum mechanics (more specifically, quantum chaos); and (b) graph theory (especially expander graphs and related spectral theory). This volume contains the contributed papers from that meeting and will be of interest to anyone intrigued by novel applications of modern number-theoretical techniques.

Book Springer Tracts in Modern Physics

Download or read book Springer Tracts in Modern Physics written by and published by . This book was released on 1998 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Path Integral on the Poincar   Upper Half Plane and for Liouville Quantum Mechanics

Download or read book The Path Integral on the Poincar Upper Half Plane and for Liouville Quantum Mechanics written by C. Grosche and published by . This book was released on 1987 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Physics Briefs

Download or read book Physics Briefs written by and published by . This book was released on 1991 with total page 1120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Poincar   Disc Models in Hyperbolic Geometry

Download or read book Poincar Disc Models in Hyperbolic Geometry written by Anna Marie Bouboulis and published by . This book was released on 2013 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report discusses two examples of the use of Poincare disc models and their different relationships to Euclidean geometry. The topics include light reflection in hyperbolic geometry and the Hyperbolic Pythagorean Theorem; all in relation to the Poincare unit disc and Poincare upper half plane model.

Book High Energy Physics Index

Download or read book High Energy Physics Index written by and published by . This book was released on 1990 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Mathematical Reviews

Download or read book Mathematical Reviews written by and published by . This book was released on 1995 with total page 1148 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Signal  ai   a    informat   s   ii   a

Download or read book Signal ai a informat s ii a written by and published by . This book was released on 1991 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Path Integrals For Pedestrians

Download or read book Path Integrals For Pedestrians written by Ennio Gozzi and published by World Scientific Publishing Company. This book was released on 2015-11-18 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to provide a quick pedagogical introduction to path integrals. It contains original material that never before has appeared in a book, for example the path integrals for the Wigner functions and for Classical Mechanics. This application to Classical Mechanics connects different fields like Hamiltonian mechanics and differential geometry, so the book is suitable for students and researchers from various disciplines.

Book A T b  Theorem for the Poincar   Upper Half space and Hyperbolic Geometry

Download or read book A T b Theorem for the Poincar Upper Half space and Hyperbolic Geometry written by Bao Luong and published by . This book was released on 1997 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Mostly Surfaces

    Book Details:
  • Author : Richard Evan Schwartz
  • Publisher : American Mathematical Soc.
  • Release : 2011
  • ISBN : 0821853686
  • Pages : 330 pages

Download or read book Mostly Surfaces written by Richard Evan Schwartz and published by American Mathematical Soc.. This book was released on 2011 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the book is to present a tapestry of ideas from various areas of mathematics in a clear and rigorous yet informal and friendly way. Prerequisites include undergraduate courses in real analysis and in linear algebra, and some knowledge of complex analysis. --from publisher description.