Quantum theories and geometry
Author(s)
Bibliographic Information
Quantum theories and geometry
（Mathematical physics studies, 10）
Kluwer Academic, c1988
Available at / 39 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
C-P||Les Treilles||1987.388062031
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University of Tsukuba Library, Library on Library and Information Science
421.5:Ma-72:10931003840
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:530.1/C1192070104016
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Note
Based on lectures given at a meeting held at the Fondation Les Treilles, March 23-27, 1987
"Meeting Quantum Theories and Geometry"--Pref
Includes bibliographical references and index
Description and Table of Contents
Description
This book presents the text of most of the lectures which were de- livered at the Meeting Quantum Theories and Geometry which was held at the Fondation Les Treilles from March 23 to March 27, 1987. The general aim of this meeting was to bring together mathemati- cians and physicists who have worked in this growing field of contact between the two disciplines, namely this region where geometry and physics interact creatively in both directions. It 1S the strong belief of the organizers that these written con- tributions will be a useful document for research people workin~ 1n geometry or physics. Three lectures were devoted to the deformation approach to quantum mechanics which involves a modification of both the associative and the Lie structure of the algebra of functions on classical phase space. A.Lichnerowicz shows how one can view classical and quantum statistical mechanics in terms of a deformation with a parameter inversely propor- tional to temperature. S.Gutt reviews the physical background of star products and indicates their applications in Lie groups representa- tion theory and in harmonic analysis. D.Arnal gives a rigorous theory Vll viii PREFACI of the star exponential in the case of the Heisenberg group and shows how this can be extended to arbitrary nilpotent groups.
Table of Contents
Schwinger terms and cyclic cohomology.- The *-exponential.- The quantum spherical pendulum.- Singletons as a basis for composite conformal quantum electrodynamics.- Some aspects of deformation theory and quantization.- Quantum physics and gravitation.- The Schwartzian derivative and the conformal geometry of the Lorentz hyperboloid.- Deformations and geometric (KMS)-conditions.- Fundamental implications of irreversibility.- Harmonic 2-spheres.
by "Nielsen BookData"