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Generalized Coherent States and Their Applications
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Author(s):
Askold Perelomov
Publication date
(Print):
1986
Publisher:
Springer Berlin Heidelberg
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Author and book information
Book
ISBN (Print):
978-3-642-64891-5
ISBN (Electronic):
978-3-642-61629-7
Publication date (Print):
1986
DOI:
10.1007/978-3-642-61629-7
SO-VID:
afae52b3-84db-4818-b596-8b41a562edac
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http://www.springer.com/tdm
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Book chapters
pp. 1
Introduction
pp. 7
Standard System of Coherent States Related to the Heisenberg-Weyl Group: One Degree of Freedom
pp. 40
Coherent States for Arbitrary Lie Groups
pp. 48
The Standard System of Coherent States; Several Degrees of Freedom
pp. 54
Coherent States for the Rotation Group of Three-Dimensional Space
pp. 67
The Most Elementary Noncompact Non-Abelian Simple Lie Group: SU(1, 1)
pp. 84
The Lorentz Group: SO(3, 1)
pp. 93
Coherent States for the SO(n, 1) Group: Class-I Representations of the Principal Series
pp. 101
Coherent States for a Bosonic System with a Finite Number of Degrees of Freedom
pp. 111
Coherent States for a Fermionic System with a Finite Number of Degrees of Freedom
pp. 119
Coherent States for Nilpotent Lie Groups
pp. 126
Coherent States for Compact Semisimple Lie Groups
pp. 134
Discrete Series of Representations: The General Case
pp. 145
Coherent States for Real Semisimple Lie Groups: Class-I Representations of Principal Series
pp. 173
Coherent States and Discrete Subgroups: The Case of SU(1, 1)
pp. 182
Coherent States for Discrete Series and Discrete Subgroups: General Case
pp. 185
Coherent States and Berezin’s Quantization
pp. 207
Preliminaries
pp. 211
Quantum Oscillators
pp. 231
Particles in External Electromagnetic Fields
pp. 253
Generating Function for Clebsch-Gordan Coefficients of the SU(2) Group
pp. 256
Coherent States and the Quasiclassical Limit
pp. 260
1/N Expansion for Gross-Neveu Models
pp. 270
Relaxation to Thermodynamic Equilibrium
pp. 282
Landau Diamagnetism
pp. 286
The Heisenberg-Euler Lagrangian
pp. 289
Synchrotron Radiation
pp. 292
Classical and Quantal Entropy
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