Modern Group Theoretical Methods in Physics: Proceedings of the Conference in Honour of Guy Rideau PDF
Preview Modern Group Theoretical Methods in Physics: Proceedings of the Conference in Honour of Guy Rideau
Modem Group Theoretical Methods in Physics MAT HEMA TICAL PHYSICS STUDIES Series Editor: M. FLATO, Universite de Bourgogne, Dijon, France VOLUME 18 Modem Group Theoretical Methods in Physics Proceedings of the Conference in Honour of Guy Rideau edited by J. Bertrand L.P.T.M., Universite Denis Diderot, Paris, France M. Flato Universite de Bourgogne, Dijon, France J.-P. Gazeau M. Irac-Astaud and D. Stemheimer L.P.T.M., Universite Denis Diderot, Paris, France Springer-Science+Business Media, B.V. A C.I.P. Catalogue record for this book is available from the Library of Congress. Printed on acid-free paper All Rights Reserved ISBN 978-90-481-4598-0 ISBN 978-94-015-8543-9 (eBook) DOI 10.1007/978-94-015-8543-9 © 1995 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 1995. Softcover reprint of the hardcover 1s t edition 1995 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording or by any information storage and retrieval system, without written permission from the copyright owner. To our friend Guy Rideau upon his retirement from CNRS Table of Contents Opening Address Moshe Flato Xl The publications of Guy Rideau XV The Problem of Invariants for Lie-Bäcklund Groups Robert L. Anderson and Nail H. Ibragimov 1 Galilean Coherent States and Wavelets J.-P. Antoine 15 On the U se of Quantum Algebras in Rotation-Vibration Spectros copy R. Barbier and M. Kibler 27 Invariant Differential Calculus on aDeformation ofthe Weyl Heisenberg Algebra J. Bertrand and M. Irac-Astaud 37 Noncompact Topological Quantum Groups F. Bidegain 51 Symmetric Symplectic Manifolds and Deformation Quantization P. Bieliavsky, M. Cahen and S. Gutt 63 The Conformal Invariance of the Klein-Gordon Equation in 1+ 1 Dimension S. de Bievre and J. Renaud 75 Compact Topological Quantum Groups P. Bonneau 87 Groupes de Transformations des Varietes Statistiques G. Burdet andl M. Perrin 97 viii Non-Frustrated Signed Graphs Ph. Combe and H. Nencka 105 De I 'Ubiquite de la Condition KMS G.G.Emch 115 A Model for QCD in Three Dimensions C. Fnmsdal 129 Poisson Path Integral Representation of Green Functions for Certain Field Theories B. Gaveau, 1. Bertrand and G. Rideau 143 Diffeomorphism Group Representations and Nonlinear Quantum Theories G.G. Goldin 157 Conditional Symmetries for 1s t order Systems of PDES in the Context of the Clairin Method A.M. Grundland and G. Rideau 167 Quasistationary Approximation and Gauge Invariance in Classical Electrodynamics A. Heslot 179 Graded Poisson Brackets and Field Theory Y. Kosmann-Schwarzbach 189 The Basic Lemma in the Theory of Formal Groups C. Moreno and F. Galvez 197 Spectra and Generalized Eigenfunctions of the One- and Two Mode Squeezing Operators in Quantum Optics B. Nagel 211 A Higgs-free Model for Fundamental Interactions M. Pawlowski and R. [email protected] 221 Coupled Hodgkin Huxley Neurons with Stochastic Synaptic Inputs R. Rodriguez 233 ix Initial Data for Non-Linear Evolution Equations and Differentiable Vectors of Group Representations J.C.H. Simon and E. Taflin 243 Star Products: Their Ubiquity and Unicity D. Sternheimer 255 Finite Braid Groups for the SU(2) Knizhnik Zamolodchikov Equation LT. Todorov 267 Continuous Symmetries of Differential-Difference Equations P. Wintemitz and D. Levi 271 Processus Limites et Irreversibilite en Mecanique Statistique hors d 'Equilibre Raymond Jancel 283 Allocution de Clöture Guy Rideau 315 GUY RIDEAU
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