Generalized Coherent States and Their Applications

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ISBN: 978-3-642-64891-5 (Print) 978-3-642-61629-7 (Online)

Table of contents (28 chapters)

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  1. Front Matter

    Pages I-XI

  2. Introduction

    1. Front Matter

      Pages 1-1

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      Book Chapter

      Pages 1-3

      Introduction

  3. Generalized Coherent States for the Simplest Lie Groups

    1. Front Matter

      Pages 5-5

    2. No Access

      Book Chapter

      Pages 7-39

      Standard System of Coherent States Related to the Heisenberg-Weyl Group: One Degree of Freedom

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      Book Chapter

      Pages 40-47

      Coherent States for Arbitrary Lie Groups

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      Book Chapter

      Pages 48-53

      The Standard System of Coherent States; Several Degrees of Freedom

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      Book Chapter

      Pages 54-66

      Coherent States for the Rotation Group of Three-Dimensional Space

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      Book Chapter

      Pages 67-83

      The Most Elementary Noncompact Non-Abelian Simple Lie Group: SU(1, 1)

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      Book Chapter

      Pages 84-92

      The Lorentz Group: SO(3, 1)

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      Book Chapter

      Pages 93-100

      Coherent States for the SO(n, 1) Group: Class-I Representations of the Principal Series

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      Book Chapter

      Pages 101-110

      Coherent States for a Bosonic System with a Finite Number of Degrees of Freedom

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      Book Chapter

      Pages 111-116

      Coherent States for a Fermionic System with a Finite Number of Degrees of Freedom

  4. General Case

    1. Front Matter

      Pages 117-117

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      Book Chapter

      Pages 119-125

      Coherent States for Nilpotent Lie Groups

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      Book Chapter

      Pages 126-133

      Coherent States for Compact Semisimple Lie Groups

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      Book Chapter

      Pages 134-144

      Discrete Series of Representations: The General Case

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      Book Chapter

      Pages 145-172

      Coherent States for Real Semisimple Lie Groups: Class-I Representations of Principal Series

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      Book Chapter

      Pages 173-181

      Coherent States and Discrete Subgroups: The Case of SU(1, 1)

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      Book Chapter

      Pages 182-184

      Coherent States for Discrete Series and Discrete Subgroups: General Case

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      Book Chapter

      Pages 185-203

      Coherent States and Berezin’s Quantization

  5. Physical Applications

    1. Front Matter

      Pages 205-205

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      Book Chapter

      Pages 207-210

      Preliminaries

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      Book Chapter

      Pages 211-230

      Quantum Oscillators

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      Book Chapter

      Pages 231-252

      Particles in External Electromagnetic Fields

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