Last edited by Kazralabar
Sunday, July 26, 2020 | History

5 edition of Path integrals, hyperbolic spaces, and Selberg trace formulae found in the catalog.

# Path integrals, hyperbolic spaces, and Selberg trace formulae

## by C. Grosche

Written in English

Subjects:
• Path integrals.,
• Path integrals -- Tables.,
• Quantum theory.,
• Mathematical physics.

• Edition Notes

Includes bibliographical references (p. 239-276) and index.

Classifications The Physical Object Statement C. Grosche. LC Classifications QC174.17.P27 G76 1996 Pagination xi, 280 p. : Number of Pages 280 Open Library OL806843M ISBN 10 9810224311 LC Control Number 95043476

Path integrals, hyperbolic spaces, and Selberg trace formulae By C Grosche Topics: Mathematical Physics and Mathematics. The main topic in the latter half is the Selberg trace formula. Letting 1 be a given discrete hyperbolic subgroup of PSL 2 (R), we will consider the compact smooth Riemann surface M=1"H2 with genus larger than or equal to two and will study the Selberg trace formula for the semigroup generated by H B acting on automorphic forms with respect to.

The path integral formulation is a description in quantum mechanics that generalizes the action principle of classical replaces the classical notion of a single, unique classical trajectory for a system with a sum, or functional integral, over an infinity of quantum-mechanically possible trajectories to compute a quantum amplitude.. This formulation has proven crucial to . The hyperbolic trigonometric functions extend the notion of the parametric equations for a unit circle (x = cos ⁡ t (x = \cos t (x = cos t and y = sin ⁡ t) y = \sin t) y = sin t) to the parametric equations for a hyperbola, which yield the following two fundamental hyperbolic equations. x = cosh ⁡ a = e a + e − a 2, y = sinh ⁡ a = e a − e − a 2. x = \cosh a = \dfrac{e^a + e^{-a.

In this paper I discuss by means of pathintegrals the quantum dynamics of a charged particle onthe hyperbolic plane under the influence of anAharonov-Bohm gauge field. The path integral can besolved in terms of an expansion of the homotopyclasses of paths. I discuss the interference pattern ofscattering by an Aharonov-Bohm gauge field in theflat-space limit, yielding a . Horizontal lift of the Brownian motion on the hyperbolic plane and the Selberg trace formula Article in Journal of Functional Analysis (2) .

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### Path integrals, hyperbolic spaces, and Selberg trace formulae by C. Grosche Download PDF EPUB FB2

Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae: 2nd Edition Christian Grosche 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.

PATH INTEGRALS, HYPERBOLIC SPACES AND SELBERG TRACE FORMULAE (2ND EDITION) 2nd Revised ed. Edition by CHRISTIAN GROSCHE (Author) ISBN ISBN Why is ISBN important. Path integrals ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book. The 13 Cited by:   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.

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.

Quick Search in Books. Enter words / phrases / DOI / ISBN / keywords / authors / etc. Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae, pp.

() No Access. The Selberg Super-Trace Formula on Bordered Super-Riemann Surfaces. Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae Résumé 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.

Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae - Kindle edition by Christian Grosche. Download it once and read it on your Kindle device, PC, phones or tablets.

Use features like bookmarks, note taking and highlighting while reading Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae. Grosche, Path Integrals, Hyperbolic Spaces, and Selberg Trace Formulae (World Scientific, ) "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.

Path Integrals Hyperbolic Spaces And Selberg Trace Formulae. These are the books for those you who looking for to read the Path Integrals Hyperbolic Spaces And Selberg Trace Formulae, try to read or download Pdf/ePub books and some of authors may have disable the live the book if it available for your country and user who already subscribe will have full access all free books.

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.

Journals & Books; Register Sign in. Path Integrals, Hyperbolic Spaces, and Selberg Trace Formulae, World Sci, Singapore () Google Scholar. GroscheThe path integral on the Poincaré upper half plane with a magnetic field and for the Morse potential.

Ann. Phys. (N.Y.), (), pp. ISBN: OCLC Number: Notes: Revision of: Path integrals, hyperbolic spaces, and Selberg trace formulae / C. Grosche (II. Download Path Integrals And Anomalies In Curved Space Pdf search pdf books full free download online Free eBook and manual for Business, Education, Finance.

Path integrals, hyperbolic spaces and Selberg trace formulae. By Christian Grosche. Abstract. 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.

5. Selberg trace formulae By Propositionwe see that the Selberg trace formulae for the de Rham–Kodaira Lapla- cian and H 1 should be of essentially the same form. We present in this section two Selberg trace formulae on a compact quotient space.

Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae Calculus with Analytic Geometry, Comp Vol 1 ; Adobe Dreamweaver CS6 Digital Classroom ; Tower and Slab: Histories of Global Mass Housing Microeconomic Theory ; The Principia: Mathematical Principles of.

Providing a pedagogical introduction to the essential principles of path integrals and Hamiltonians, this book describes cutting-edge quantum mathematical techniques applicable to a vast range of fields, from quantum mechanics, solid state physics, statistical mechanics, quantum field theory, and superstring theory to financial modeling, polymers, biology, chemistry, and.

Furthermore, the book shows that it is possible to construct regularized lattice phase space path integrals for a real, separable, connected and simply connected Lie group with irreducible, square-integrable representations, and although the configuration space is in general a multidimensional curved manifold, it is shown that the resulting.

Genre/Form: Electronic books: Additional Physical Format: Print version: Grosche, C. Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae. Singapore: World Scientific Publishing Company, © Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae: 2nd Edition C.

Grosche (Auteur) Acheter neuf: 30 (as of 02/15/ PST) (Consultez la liste Dernieres nouveautes en Geometry & Topology pour des informations officielles sur. Get this from a library! Path integrals, hyperbolic spaces, and Selberg trace formulae. [C Grosche] -- 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.

The propagator in de Sitter space is calculated based on the path integrals. The method of evaluation of path integrals for particles with spin is proposed. The calculations are compared with the q.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.

Sample Chapter(s) Chapter 1: Introduction ( KB) Contents: Infinite Dimensional Oscillatory Integrals.