Geometric Methods in Physics

XXX Workshop, Białowieża, Poland, June 26 to July 2, 2011

ISBN: 978-3-0348-0447-9 (Print) 978-3-0348-0448-6 (Online)

Table of contents (39 chapters)

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  1. Front Matter

    Pages i-xix

  2. Quantization, Supergeometry and Representation Theory, the Scientific Legacy of Felix A. Berezin

    1. Front Matter

      Pages 1-1

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      Chapter

      Pages 3-33

      Felix Alexandrovich Berezin and His Work

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      Chapter

      Pages 35-42

      Some Non-standard Examples of Coherent States and Quantization

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      Chapter

      Pages 43-52

      Classical and Quantum Evolution on the Siegel-Jacobi Manifolds

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      Chapter

      Pages 53-62

      Exhausting Formal Quantization Procedures

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      Chapter

      Pages 63-69

      On One Result of F. Berezin

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      Chapter

      Pages 71-80

      Berezin Quantization on Para-Hermitian Symmetric Spaces

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      Chapter

      Pages 81-89

      Remarks on Singular Symplectic Reduction and Quantization of the Angular Moment

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      Chapter

      Pages 91-99

      Duality and the Abel Map for Complex Supercurves

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      Chapter

      Pages 101-116

      Berezin’s Coherent States, Symbols and Transform for Compact Kähler Manifolds

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      Chapter

      Pages 117-123

      Physically Acceptable Solutions of an Eigenvalue Equation in Deformation Quantization

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      Chapter

      Pages 125-132

      A Classification Theorem and a Spectral Sequence for a Locally Free Sheaf Cohomology of a Supermanifold

  3. Foundations of Quantum Mechanics

    1. Front Matter

      Pages 133-133

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      Chapter

      Pages 135-156

      Bogdan Mielnik: Contributions to Quantum Control

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      Chapter

      Pages 157-164

      Partial Inner Product Spaces, a Unifying Language for Quantum Mechanics

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      Chapter

      Pages 165-174

      The Resonance-Decay Problem in Quantum Mechanics

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      Chapter

      Pages 175-197

      Geometry of the Set of Mixed Quantum States: An Apophatic Approach

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      Chapter

      Pages 199-209

      Solution Hierarchies for the Painlevé IV Equation

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      Chapter

      Pages 211-228

      The Marvelous Consequences of Hardy Spaces in Quantum Physics

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      Chapter

      Pages 229-237

      Factorization Method and the Position-dependent Mass Problem

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      Chapter

      Pages 239-251

      Quantum Configuration Spaces of Extended Objects, Diffeomorphism Group Representations and Exotic Statistics

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      Chapter

      Pages 253-264

      Convex Geometry: A Travel to the Limits of Our Knowledge

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