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Modern Group Theoretical Methods in Physics

Proceedings of the Conference in Honour of Guy Rideau

  • Conference proceedings
  • © 1995

Overview

Editors:
  1. J. Bertrand

    1. L.P.T.M., Université Denis Diderot, Paris, France

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  2. M. Flato

    1. Université de Bourgogne, Dijon, France

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  3. J.-P. Gazeau

    1. L.P.T.M., Université Denis Diderot, Paris, France

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  4. M. Irac-Astaud

    1. L.P.T.M., Université Denis Diderot, Paris, France

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  5. D. Sternheimer

    1. L.P.T.M., Université Denis Diderot, Paris, France

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Part of the book series: Mathematical Physics Studies (MPST, volume 18)

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Table of contents (27 papers)

  1. Front Matter

    Pages i-xix
    Download chapter PDF

  2. The Problem of Invariants for Lie-Bäcklund Groups

    • Robert L. Anderson, Nail H. Ibragimov
    Pages 1-14

  3. Galilean Coherent States and Wavelets

    • J.-P. Antoine
    Pages 15-26

  4. On the Use of Quantum Algebras in Rotation-Vibration Spectroscopy

    • R. Barbier, M. Kibler
    Pages 27-36

  5. Invariant Differential Calculus on a Deformation of the Weyl-Heisenberg Algebra

    • J. Bertrand, M. Irac-Astaud
    Pages 37-49

  6. Noncompact Topological Quantum Groups

    • Frédéric Bidegain
    Pages 51-62

  7. Symmetric Symplectic Manifolds and Deformation Quantization

    • P. Bieliavsky, M. Cahen, S. Gutt
    Pages 63-73

  8. The Conformal Invariance of the Klein-Gordon Equation in 1+1 Dimension

    • Stephan De Bievre, Jacques Renaud
    Pages 75-86

  9. Compact Topological Quantum Groups

    • Philippe Bonneau
    Pages 87-96

  10. Groupes de Transformations des Varietes Statistiques

    • G. Burdet, M. Perrin
    Pages 97-104

  11. Non-Frustrated Signed Graphs

    • Ph. Combe, H. Nencka
    Pages 105-113

  12. De l’Ubiquite de la Condition KMS

    • Gerard G. Emch
    Pages 115-128

  13. A Model for QCD in Three Dimensions

    • Christian Frønsdal
    Pages 129-142

  14. Poisson Path Integral Representation of Green Functions for Certain Field Theories

    • B. Gaveau, J. Bertrand, G. Rideau
    Pages 143-156

  15. Diffeomorphism Group Representations and Nonlinear Quantum Theories

    • Gerald A. Goldin
    Pages 157-166

  16. Conditional Symmetries for 1st Order Systems of PDES in the Context of the Clairin Method

    • Alfred M. Grundland, Guy Rideau
    Pages 167-178

  17. Quasistationary Approximation and Gauge Invariance in Classical Electrodynamics

    • André Heslot
    Pages 179-188

  18. Graded Poisson Brackets and Field Theory

    • Y. Kosmann-Schwarzbach
    Pages 189-196

  19. The Basic Lemma in the Theory of Formal Groups

    • Carlos Moreno, Felix Galvez
    Pages 197-210

  20. Spectra and Generalized Eigenfunctions of the One- and Two-Mode Squeezing Operators in Quantum Optics

    • Bengt Nagel
    Pages 211-220
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Keywords

About this book

This book contains the proceedings of a meeting that brought together friends and colleagues of Guy Rideau at the Université Denis Diderot (Paris, France) in January 1995.
It contains original results as well as review papers covering important domains of mathematical physics, such as modern statistical mechanics, field theory, and quantum groups. The emphasis is on geometrical approaches. Several papers are devoted to the study of symmetry groups, including applications to nonlinear differential equations, and deformation of structures, in particular deformation-quantization and quantum groups. The richness of the field of mathematical physics is demonstrated with topics ranging from pure mathematics to up-to-date applications such as imaging and neuronal models.
Audience: Researchers in mathematical physics.

Editors and Affiliations

  • L.P.T.M., Université Denis Diderot, Paris, France

    J. Bertrand, J.-P. Gazeau, M. Irac-Astaud, D. Sternheimer

  • Université de Bourgogne, Dijon, France

    M. Flato

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