Theoretical and Mathematical Physics

Coherent States and Applications in Mathematical Physics

Authors: Combescure, Monique, Robert, Didier

  • 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, ...)
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Hardcover $99.00
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About this book

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, ...).

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)


Table of contents (12 chapters)

  • Introduction to Coherent States

    Combescure, Monique (et al.)

    Pages 1-21

  • Weyl Quantization and Coherent States

    Combescure, Monique (et al.)

    Pages 23-58

  • The Quadratic Hamiltonians

    Combescure, Monique (et al.)

    Pages 59-85

  • The Semiclassical Evolution of Gaussian Coherent States

    Combescure, Monique (et al.)

    Pages 87-121

  • Trace Formulas and Coherent States

    Combescure, Monique (et al.)

    Pages 123-150

Buy this book

eBook $74.99
price for USA (gross)
  • ISBN 978-94-007-0196-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-94-007-0195-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
price for USA
  • ISBN 978-94-007-9668-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Coherent States and Applications in Mathematical Physics
Authors
Series Title
Theoretical and Mathematical Physics
Copyright
2012
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-94-007-0196-0
DOI
10.1007/978-94-007-0196-0
Hardcover ISBN
978-94-007-0195-3
Softcover ISBN
978-94-007-9668-3
Series ISSN
1864-5879
Edition Number
1
Number of Pages
XIV, 418
Topics