Generalized Coherent States and Their Applications

  • Askold Perelomov

Part of the Texts and Monographs in Physics book series (TMP)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Introduction

    1. Front Matter
      Pages 1-1
    2. Askold Perelomov
      Pages 1-3
  3. Generalized Coherent States for the Simplest Lie Groups

  4. General Case

  5. Physical Applications

    1. Front Matter
      Pages 205-205
    2. Askold Perelomov
      Pages 207-210
    3. Askold Perelomov
      Pages 211-230
    4. Askold Perelomov
      Pages 231-252
    5. Askold Perelomov
      Pages 256-259
    6. Askold Perelomov
      Pages 260-269
    7. Askold Perelomov
      Pages 270-281
    8. Askold Perelomov
      Pages 282-285
    9. Askold Perelomov
      Pages 286-288
    10. Askold Perelomov
      Pages 289-291
    11. Askold Perelomov
      Pages 292-295
  6. Back Matter
    Pages 296-320

About this book


This monograph treats an extensively developed field in modern mathematical physics - the theory of generalized coherent states and their applications to various physical problems. Coherent states, introduced originally by Schrodinger and von Neumann, were later employed by Glauber for a quantal description of laser light beams. The concept was generalized by the author for an arbitrary Lie group. In the last decade the formalism has been widely applied to various domains of theoretical physics and mathematics. The area of applications of generalized coherent states is very wide, and a comprehensive exposition of the results in the field would be helpful. This monograph is the first attempt toward this aim. My purpose was to compile and expound systematically the vast amount of material dealing with the coherent states and available through numerous journal articles. The book is based on a number of undergraduate and postgraduate courses I delivered at the Moscow Physico-Technical Institute. In its present form it is intended for professional mathematicians and theoretical physicists; it may also be useful for university students of mathematics and physics. In Part I the formalism is elaborated and explained for some of the simplest typical groups. Part II contains more sophisticated material; arbitrary Lie groups and symmetrical spaces are considered. A number of examples from various areas of theoretical and mathematical physics illustrate advantages of this approach, in Part III. It is a pleasure for me to thank Dr. Yu. Danilov for many useful remarks.


Applications classical mechanics electromagnetic field entropy equilibrium magnetic field magnetism mathematical physics mechanics quantization theoretical physics

Authors and affiliations

  • Askold Perelomov
    • 1
  1. 1.Institute of Theoretical and Experimental PhysicsMoscowUSSR

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1986
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-64891-5
  • Online ISBN 978-3-642-61629-7
  • Series Print ISSN 1864-5879
  • Buy this book on publisher's site