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Coherent States and Applications in Mathematical Physics

  • Monique Combescure
  • Didier Robert

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

  • Monique Combescure
    • 1
  • Didier Robert
    • 2
  1. 1., Batiment Paul DiracIPNLVilleurbanneFrance
  2. 2., Departement de mathematiquesNantes UniversityNantes Cedex 03France

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-007-0196-0
  • Copyright Information Springer Science+Business Media B.V. 2012
  • Publisher Name Springer, Dordrecht
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-94-007-0195-3
  • Online ISBN 978-94-007-0196-0
  • Series Print ISSN 1864-5879
  • Series Online ISSN 1864-5887
  • Buy this book on publisher's site
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