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Quantization, Coherent States, and Complex Structures

  • Book
  • © 1995

Overview

Editors:
  1. J.-P. Antoine

    1. Catholic University of Louvain, Louvain-la-Neuve, Belgium

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  2. S. Twareque Ali

    1. Concordia University, Montréal, Canada

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  3. W. Lisiecki

    1. Warsaw University, Białystok, Poland

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  4. I. M. Mladenov

    1. Bulgarian Academy of Sciences, Sofia, Bulgaria

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  5. A. Odzijewicz

    1. Warsaw University, Białystok, Poland

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Table of contents (33 chapters)

  1. Front Matter

    Pages i-ix
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  2. Quantization, Field Theory and Representation Theory

    1. Front Matter

      Pages 1-1
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    2. On Quantum Mechanics in a Curved Spacetime with Absolute Time

      • Daniel Canarutto, Arkadiusz Jadczyk, Marco Modugno
      Pages 3-19

    3. Massless Spinning Particles on the Anti-De Sitter Spacetime

      • Stephan De Bièvre, Salah Mehdi
      Pages 21-25

    4. A Family of Nonlinear Schrödinger Equations: Linearizing Transformations and Resulting Structure

      • H.-D. Doebner, G. A. Goldin, P. Nattermann
      Pages 27-31

    5. Modular Structures in Geometric Quantization

      • Gérard G. Emch
      Pages 33-42

    6. Diffeomorphism Groups and Anyon Fields

      • Gerald A. Goldin, David H. Sharp
      Pages 43-54

    7. On a Full Quantization of the Torus

      • Mark J. Gotay
      Pages 55-62

    8. Differential Forms on the Skyrmion Bundle

      • Christian Gross
      Pages 63-71

    9. Explicitly Covariant Algebraic Representations for Transitional Currents of Spin-1/2 Particles

      • M. I. Krivoruchenko
      Pages 73-78

    10. The Quantum SU(2, 2)-Harmonic Oscillator

      • Wojciech Mulak
      Pages 79-85

    11. Geometro-Stochastic Quantization and Quantum Geometry

      • Eduard Prugovečki
      Pages 87-102

    12. Prequantization

      • D. J. Simms
      Pages 103-108

    13. Classical Yang-Mills and Dirac Fields in the Minkowski Space and in a Bag

      • Jȩdrzej Śniatycki
      Pages 109-118

    14. Symplectic Induction, Unitary Induction and BRST Theory (Summary)

      • G. M. Tuynman
      Pages 119-119

  3. Coherent States, Complex and Poisson Structures

    1. Front Matter

      Pages 121-121
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    2. Spin Coherent States for the Poincaré Group

      • S. Twareque Ali, J.-P. Gazeau
      Pages 123-129

    3. Coherent States and Global Differential Geometry

      • Stefan Berceanu
      Pages 131-140

    4. Natural Transformations of Lagrangians into p-Forms on the Tangent Bundle

      • Jacek Dȩbecki
      Pages 141-146

    5. SL(2, ℝ)-Coherent States and Integrable Systems in Classical and Quantum Physics

      • Jean-Pierre Gazeau
      Pages 147-158
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Keywords

About this book

The XIIIth Bialowieza Summer Workshop was held from July 9 to 15, 1994. While still within the general framework of Differential Geometric Methods in Physics, the XnIth Workshop was expanded in scope to include quantum groups, q-deformations and non-commutative geometry. It is expected that lectures on these topics will now become an integral part of future workshops. In the more traditional areas, lectures were devoted to topics in quantization, field theory, group representations, coherent states, complex and Poisson structures, the Berry phase, graded contractions and some infinite-dimensional systems. Those of us who have taken part in the evolution of the workshops over the years, feel a good measure of satisfaction with the excellent quality of the papers presented, in particular the mathematical rigour and novelty. Each year a significant number of new results are presented and future directions of research are discussed. Their freshness and immediacy inevitably leads to intense discussions and an exchange of ideas in an informal and physically charming environment. The present workshop also had a higher attendance than its predecessors, with ap­ proximately 65 registered participants. As usual, there was a large number of graduate students and young researchers among them.

Editors and Affiliations

  • Catholic University of Louvain, Louvain-la-Neuve, Belgium

    J.-P. Antoine

  • Concordia University, Montréal, Canada

    S. Twareque Ali

  • Warsaw University, Białystok, Poland

    W. Lisiecki, A. Odzijewicz

  • Bulgarian Academy of Sciences, Sofia, Bulgaria

    I. M. Mladenov

Bibliographic Information

  • Book Title: Quantization, Coherent States, and Complex Structures

  • Editors: J.-P. Antoine, S. Twareque Ali, W. Lisiecki, I. M. Mladenov, A. Odzijewicz

  • DOI: https://doi.org/10.1007/978-1-4899-1060-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1995

  • Hardcover ISBN: 978-0-306-45214-7Published: 31 January 1996

  • Softcover ISBN: 978-1-4899-1062-2Published: 01 July 2013

  • eBook ISBN: 978-1-4899-1060-8Published: 29 June 2013

  • Edition Number: 1

  • Number of Pages: X, 302

  • Topics: Applications of Mathematics, Theoretical, Mathematical and Computational Physics, Physics, general

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