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Generalized Coherent States and Their Applications
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Table of Contents
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Book Overview
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Chapter 1
Introduction
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Chapter 2
Standard System of Coherent States Related to the Heisenberg-Weyl Group: One Degree of Freedom
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Chapter 3
Coherent States for Arbitrary Lie Groups
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Chapter 4
The Standard System of Coherent States; Several Degrees of Freedom
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Chapter 5
Coherent States for the Rotation Group of Three-Dimensional Space
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Chapter 6
The Most Elementary Noncompact Non-Abelian Simple Lie Group: SU (1, 1)
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Chapter 7
The Lorentz Group: SO (3, 1)
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Chapter 8
Coherent States for the SO ( n , 1) Group: Class-I Representations of the Principal Series
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Chapter 9
Coherent States for a Bosonic System with a Finite Number of Degrees of Freedom
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Chapter 10
Coherent States for a Fermionic System with a Finite Number of Degrees of Freedom
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Chapter 11
Coherent States for Nilpotent Lie Groups
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Chapter 12
Coherent States for Compact Semisimple Lie Groups
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Chapter 13
Discrete Series of Representations: The General Case
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Chapter 14
Coherent States for Real Semisimple Lie Groups: Class-I Representations of Principal Series
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Chapter 15
Coherent States and Discrete Subgroups: The Case of SU (1, 1)
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Chapter 16
Coherent States for Discrete Series and Discrete Subgroups: General Case
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Chapter 17
Coherent States and Berezin’s Quantization
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Chapter 18
Preliminaries
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Chapter 19
Quantum Oscillators
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Chapter 20
Particles in External Electromagnetic Fields
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Chapter 21
Generating Function for Clebsch-Gordan Coefficients of the SU (2) Group
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Chapter 22
Coherent States and the Quasiclassical Limit
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Chapter 23
1/ N Expansion for Gross-Neveu Models
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Chapter 24
Relaxation to Thermodynamic Equilibrium
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Chapter 25
Landau Diamagnetism
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Chapter 26
The Heisenberg-Euler Lagrangian
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Chapter 27
Synchrotron Radiation
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Chapter 28
Classical and Quantal Entropy
Overall attention for this book and its chapters
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Book overview
1. Introduction
2. Standard System of Coherent States Related to the Heisenberg-Weyl Group: One Degree of Freedom
3. Coherent States for Arbitrary Lie Groups
4. The Standard System of Coherent States; Several Degrees of Freedom
5. Coherent States for the Rotation Group of Three-Dimensional Space
6. The Most Elementary Noncompact Non-Abelian Simple Lie Group: SU (1, 1)
7. The Lorentz Group: SO (3, 1)
8. Coherent States for the SO ( n , 1) Group: Class-I Representations of the Principal Series
9. Coherent States for a Bosonic System with a Finite Number of Degrees of Freedom
10. Coherent States for a Fermionic System with a Finite Number of Degrees of Freedom
11. Coherent States for Nilpotent Lie Groups
12. Coherent States for Compact Semisimple Lie Groups
13. Discrete Series of Representations: The General Case
14. Coherent States for Real Semisimple Lie Groups: Class-I Representations of Principal Series
15. Coherent States and Discrete Subgroups: The Case of SU (1, 1)
16. Coherent States for Discrete Series and Discrete Subgroups: General Case
17. Coherent States and Berezin’s Quantization
18. Preliminaries
19. Quantum Oscillators
20. Particles in External Electromagnetic Fields
21. Generating Function for Clebsch-Gordan Coefficients of the SU (2) Group
22. Coherent States and the Quasiclassical Limit
23. 1/ N Expansion for Gross-Neveu Models
24. Relaxation to Thermodynamic Equilibrium
25. Landau Diamagnetism
26. The Heisenberg-Euler Lagrangian
27. Synchrotron Radiation
28. Classical and Quantal Entropy
Summary
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