
Quantum Theories and Geometry
Published on 1. October 2011
Book
Paperback/Softback
IX, 191 pages
978-94-010-7874-0 (ISBN)
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.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1988
Language
English
Place of publication
Dordrecht
Netherlands
Target group
Professional and scholarly
Research
Illustrations
IX, 191 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 12 mm
Weight
318 gr
ISBN-13
978-94-010-7874-0 (9789401078740)
DOI
10.1007/978-94-009-3055-1
Schweitzer Classification
Other editions
Additional editions

M. Cahen | M. Flato
Quantum Theories and Geometry
E-Book
12/2012
Springer
€149.79
Available for download

M. Cahen | M. Flato
Quantum Theories and Geometry
Book
09/1988
Kluwer Academic Publishers
€160.49
Shipment within 15-20 days
Content
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.