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© 2012

Coherent States and Applications in Mathematical Physics

Benefits

  • Consistent survey of all aspects and usages of coherent states in semiclassical analysis, written by the leading experts in the field

  • Goes beyond existing books on coherent states in terms of a rigorous mathematical framework

  • Describes properties of coherent states together with their applications to quantum physics problems

  • Contains specific examples of coherent states (hydrogen atom, quantum oscillator, ...)

Book

Part of the Theoretical and Mathematical Physics book series (TMP)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Monique Combescure, Didier Robert
    Pages 1-21
  3. Monique Combescure, Didier Robert
    Pages 23-58
  4. Monique Combescure, Didier Robert
    Pages 59-85
  5. Monique Combescure, Didier Robert
    Pages 87-121
  6. Monique Combescure, Didier Robert
    Pages 123-150
  7. Monique Combescure, Didier Robert
    Pages 151-182
  8. Monique Combescure, Didier Robert
    Pages 183-223
  9. Monique Combescure, Didier Robert
    Pages 225-262
  10. Monique Combescure, Didier Robert
    Pages 263-283
  11. Monique Combescure, Didier Robert
    Pages 285-309
  12. Monique Combescure, Didier Robert
    Pages 311-351
  13. Monique Combescure, Didier Robert
    Pages 353-382
  14. Back Matter
    Pages 383-415

About this book

Introduction

This book presents the various types of coherent states introduced and studied in the physics and mathematics literature and describes their properties together with application to quantum physics problems. It is intended to serve as a compendium on coherent states and their applications for physicists and mathematicians, stretching from the basic mathematical structures of generalized coherent states in the sense of Perelomov via the semiclassical evolution of coherent states to various specific examples of coherent states (hydrogen atom, quantum oscillator, ...).

Keywords

Coherent state harmonic oscillator Coherent state hydrogen atom Coherent state quantum physics Coherent states Coherent states decomposition Generalized coherent state Semiclassical Gutzwiller trace formula explained Semiclassical evolution of coherent states Semiclassical propagation coherent state Weyl quantization

Authors and affiliations

  1. 1., Batiment Paul DiracIPNLVilleurbanneFrance
  2. 2., Departement de mathematiquesNantes UniversityNantes Cedex 03France

Bibliographic information

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Reviews

From the reviews:

“This book is meant to be a solid and formal introduction to the theory of coherent states and their applications in mathematical physics … . Most of the emphasis in this work is concentrated on applications of coherent states to semi-classical analysis, as well as to the mathematical treatment of the theory, hence providing a more consistent formal basis than other monographs on the subject. … will certainly be very useful for both physicists and mathematicians.” (Rutwig Campoamor-Stursberg, Mathematical Reviews, March, 2013)

“In this book, the authors elaborate the canonical Gaussian Coherent States and their applications. … This book is a masterpiece at present. The material covered in this book is designed for an advanced graduate student or researcher. The one-parameter coherent states today have caused a great interest for scholars. The authors introduce well into this topic.” (Chen Yong-Qing, Zentralblatt MATH, Vol. 1243, 2012)