## Overview

- 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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## 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

## Table of contents (12 chapters)

## 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

## 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