Theoretical and Mathematical Physics

Generalized Coherent States and Their Applications

Authors: Perelomov, Askold

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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.

Table of contents (28 chapters)

Table of contents (28 chapters)
  • Introduction

    Pages 1-3

    Perelomov, Professor Dr. Askold

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

    Pages 7-39

    Perelomov, Professor Dr. Askold

  • Coherent States for Arbitrary Lie Groups

    Pages 40-47

    Perelomov, Professor Dr. Askold

  • The Standard System of Coherent States; Several Degrees of Freedom

    Pages 48-53

    Perelomov, Professor Dr. Askold

  • Coherent States for the Rotation Group of Three-Dimensional Space

    Pages 54-66

    Perelomov, Professor Dr. Askold

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-3-642-61629-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-540-15912-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $149.99
price for USA in USD
  • ISBN 978-3-642-64891-5
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Generalized Coherent States and Their Applications
Authors
Series Title
Theoretical and Mathematical Physics
Copyright
1986
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-61629-7
DOI
10.1007/978-3-642-61629-7
Hardcover ISBN
978-3-540-15912-4
Softcover ISBN
978-3-642-64891-5
Series ISSN
1864-5879
Edition Number
1
Number of Pages
XI, 320
Topics