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Path Integrals Hyperbolic Spaces And Selberg Trace Formulae 2nd Edition
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Book Synopsis Path Integrals, Hyperbolic Spaces And Selberg Trace Formulae (2nd Edition) by : Christian Grosche
Download or read book Path Integrals, Hyperbolic Spaces And Selberg Trace Formulae (2nd Edition) written by Christian Grosche and published by World Scientific. This book was released on 2013-07-26 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 Synopsis Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae by : Christian Grosche
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 Synopsis Quantum and Stochastic Mathematical Physics by : Astrid Hilbert
Download or read book Quantum and Stochastic Mathematical Physics written by Astrid Hilbert and published by Springer Nature. This book was released on 2023-04-02 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sergio Albeverio gave important contributions to many fields ranging from Physics to Mathematics, while creating new research areas from their interplay. Some of them are presented in this Volume that grew out of the Random Transformations and Invariance in Stochastic Dynamics Workshop held in Verona in 2019. To understand the theory of thermo- and fluid-dynamics, statistical mechanics, quantum mechanics and quantum field theory, Albeverio and his collaborators developed stochastic theories having strong interplays with operator theory and functional analysis. His contribution to the theory of (non Gaussian)-SPDEs, the related theory of (pseudo-)differential operators, and ergodic theory had several impacts to solve problems related, among other topics, to thermo- and fluid dynamics. His scientific works in the theory of interacting particles and its extension to configuration spaces lead, e.g., to the solution of open problems in statistical mechanics and quantum field theory. Together with Raphael Hoegh Krohn he introduced the theory of infinite dimensional Dirichlet forms, which nowadays is used in many different contexts, and new methods in the theory of Feynman path integration. He did not fear to further develop different methods in Mathematics, like, e.g., the theory of non-standard analysis and p-adic numbers.
Book Synopsis Mathematical Theory of Feynman Path Integrals by : Sergio Albeverio
Download or read book Mathematical Theory of Feynman Path Integrals written by Sergio Albeverio and published by Springer Science & Business Media. This book was released on 2008-05-30 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. An entire new chapter on the current forefront of research has been added. Except for this new chapter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapter the reader will also find notes with further bibliographical information.
Book Synopsis Noncommutative Cosmology by : Matilde Marcolli
Download or read book Noncommutative Cosmology written by Matilde Marcolli and published by World Scientific. This book was released on 2017-12-26 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modified gravity models play an important role in contemporary theoretical cosmology. The present book proposes a novel approach to the topic based on techniques from noncommutative geometry, especially the spectral action functional as a gravity model. The book discusses applications to early universe models and slow-roll inflation models, to the problem of cosmic topology, to non-isotropic cosmologies like mixmaster universes and Bianchi IX gravitational instantons, and to multifractal structures in cosmology.Relations between noncommutative and algebro-geometric methods in cosmology is also discussed, including the occurrence of motives, periods, and modular forms in spectral models of gravity.
Book Synopsis American Book Publishing Record by :
Download or read book American Book Publishing Record written by and published by . This book was released on 1996 with total page 1328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Selected Papers on Analysis and Differential Equations by : 野水克己
Download or read book Selected Papers on Analysis and Differential Equations written by 野水克己 and published by American Mathematical Soc.. This book was released on 2003 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains translations of papers that originally appeared in the Japanese journal, Sugaku. Ordinarily the papers would appear in the AMS translation of that journal, but to expedite publication, the Society has chosen to publish them as a volume of selected papers. The papers range over a variety of topics, including nonlinear partial differential equations, $C*$-algebras, and Schrodinger operators. The volume is suitable for graduate students and research mathematicians interested in analysis and differential equations.
Book Synopsis Mathematical Feynman Path Integrals and Their Applications by : Sonia Mazzucchi
Download or read book Mathematical Feynman Path Integrals and Their Applications written by Sonia Mazzucchi and published by World Scientific. This book was released on 2009 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although more than 60 years have passed since their first appearance, Feynman path integrals have yet to lose their fascination and luster. They are not only a formidable instrument of theoretical physics, but also a mathematical challenge; in fact, several mathematicians in the last 40 years have devoted their efforts to the rigorous mathematical definition of Feynman''s ideas. This volume provides a detailed, self-contained description of the mathematical difficulties as well as the possible techniques used to solve these difficulties. In particular, it gives a complete overview of the mathematical realization of Feynman path integrals in terms of well-defined functional integrals, that is, the infinite dimensional oscillatory integrals. It contains the traditional results on the topic as well as the more recent developments obtained by the author. Mathematical Feynman Path Integrals and Their Applications is devoted to both mathematicians and physicists, graduate students and researchers who are interested in the problem of mathematical foundations of Feynman path integrals.
Download or read book The Cumulative Book Index written by and published by . This book was released on 1997 with total page 2312 pages. Available in PDF, EPUB and Kindle. Book excerpt: A world list of books in the English language.
Book Synopsis Families of Conformally Covariant Differential Operators, Q-Curvature and Holography by : Andreas Juhl
Download or read book Families of Conformally Covariant Differential Operators, Q-Curvature and Holography written by Andreas Juhl and published by Springer Science & Business Media. This book was released on 2009-07-26 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies structural properties of Q-curvature from an extrinsic point of view by regarding it as a derived quantity of certain conformally covariant families of differential operators which are associated to hypersurfaces.
Book Synopsis Government Reports Announcements & Index by :
Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1995 with total page 882 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book American Journal of Physics written by and published by . This book was released on 1996 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Subject Guide to Books in Print by :
Download or read book Subject Guide to Books in Print written by and published by . This book was released on 1997 with total page 3310 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book INIS Atomindex written by and published by . This book was released on 1995 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 1997 with total page 1164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Zeta Regularization Techniques With Applications by : Andrei A Bytsenko
Download or read book Zeta Regularization Techniques With Applications written by Andrei A Bytsenko and published by World Scientific. This book was released on 1994-05-16 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of several years of work by the authors on different aspects of zeta functions and related topics. The aim is twofold. On one hand, a considerable number of useful formulas, essential for dealing with the different aspects of zeta-function regularization (analytic continuation, asymptotic expansions), many of which appear here, in book format, for the first time are presented. On the other hand, the authors show explicitly how to make use of such formulas and techniques in practical applications to physical problems of very different nature. Virtually all types of zeta functions are dealt with in the book.
Book Synopsis Proceedings of the Second International Winter School on Mathematical Methods in Physics by : M. C. B. Abdalla
Download or read book Proceedings of the Second International Winter School on Mathematical Methods in Physics written by M. C. B. Abdalla and published by . This book was released on 2003 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:
