Authors:
- 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, ...)
- Includes supplementary material: sn.pub/extras
Part of the book series: Theoretical and Mathematical Physics (TMP)
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Table of contents (12 chapters)
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Front Matter
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Back Matter
About this book
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
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)
Authors and Affiliations
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, Batiment Paul Dirac, IPNL, Villeurbanne, France
Monique Combescure
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, Departement de mathematiques, Nantes University, Nantes Cedex 03, France
Didier Robert
Bibliographic Information
Book Title: Coherent States and Applications in Mathematical Physics
Authors: Monique Combescure, Didier Robert
Series Title: Theoretical and Mathematical Physics
DOI: https://doi.org/10.1007/978-94-007-0196-0
Publisher: Springer Dordrecht
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Science+Business Media B.V. 2012
Hardcover ISBN: 978-94-007-0195-3Published: 02 February 2012
eBook ISBN: 978-94-007-0196-0Published: 02 February 2012
Series ISSN: 1864-5879
Series E-ISSN: 1864-5887
Edition Number: 1
Number of Pages: XIV, 418
Topics: Quantum Physics, Applications of Mathematics, Mathematical Methods in Physics