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Quantization and Infinite-Dimensional Systems

  • Book
  • © 1994

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 (32 chapters)

  1. Front Matter

    Pages i-ix
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  3. Complex Structures, Symplectic Geometry and Poisson Structures

    1. Front Matter

      Pages 67-67
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    2. Supercoherent States and Geometric Quantization of a Super Kähler Supermanifold

      • Amine M. El Gradechi
      Pages 69-78

    3. Holomorphic Representations and Coherent States

      • Karl-Hermann Neeb
      Pages 79-85

    4. On the Spectrum of the Geodesic Flow on Spheres

      • Ivailo M. Mladenov, Vasil V. Tsanov
      Pages 87-92

    5. Symplectic Realizations of the Galilei-Carroll Group

      • Joachim Nzotungincimpaye, Jean-Bosco Kayoya
      Pages 93-97

    6. Covariant and Contravariant Berezin Symbols of Bounded Operators

      • Anatol Odzijewicz
      Pages 99-108

    7. On Reproducing Kernels for Holomorphic Vector Bundles

      • Zbigniew Pasternak-Winiarski
      Pages 109-112

    8. Poisson Structures, Stability and Control

      • Mircea Puta
      Pages 113-121

    9. Affine Poisson Structures in Analytical Mechanics

      • Paweł Urbański
      Pages 123-129

  4. Coherent States, Quantization and Representation Theory

    1. Front Matter

      Pages 131-131
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    2. Quantum Frames, Quantization and Dequantization

      • S. Twareque Ali, J.-P. Antoine
      Pages 133-145
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Keywords

About this book

As all participants know by now, the Bialowieza Summer Workshop has acquired a life of its own. The charming venue of the meetings, the informal atmosphere, the enthusiasm of the participants and the intensity of the scientific interaction have all conspired to make these meetings wonderful learning experiences. The XIIth Workshop (held from July 1 - 7, 1993) was once again a topical meeting within the general area of Differential Geometric Methods in Physics, focusing specifically on Quantization and Infinite-dimensional Systems. Altogether, about fifty participants attended the workshop. As before, the aim of the workshop was to have a small number of in-depth lectures on the main theme and a somewhat larger number of short presentations on related areas, while leaving enough free time for private discussions and exchange of ideas. Topics treated in the workshop included field theory, geometric quantization and symplectic geometry, coherent states methods, holomorphic representation theory, Poisson structures, non-commutative geometry, supersymmetry and quantum groups. The editors have the pleasant task of first thanking all the local organizers, in particular Dr. K. Gilewicz, for their painstaking efforts in ensuring the smooth running of the meeting and for organizing a delightful array of social events. Secondly, they would like to record their indebtedness to all the people who have contributed to this volume and to the redoubtable Ms. Cindy Parkinson without whose patient typesetting and editing skills the volume could hardly have seen the light of the day.

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

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