Overview
- Second edition presents several important rigorous results obtained in recent years
- Enriched with figures, historical information and numerical simulations
- Consistent survey of all aspects of coherent states in semiclassical analysis, written by the leading experts
- Describes properties of coherent states together with their applications to quantum physics problems
Part of the book series: Theoretical and Mathematical Physics (TMP)
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Table of contents (17 chapters)
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Front Matter
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Basic Euclidian Coherent States and Applications
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Front Matter
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Coherent States in Non Euclidian Geometries
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Front Matter
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More Advanced Results on Harmonic Coherent States and Applications
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Front Matter
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Coherent States with Infinitely Many Degrees of Freedom
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Front Matter
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Keywords
- Weyl quantization
- quadratic Hamiltonians
- hydrogen atom
- quantum oscillator
- Herman-Kluck approximation
- Generalized coherent state
- Gutzwiller trace formula
- semiclassical evolution
- Fourier-Integral Operators
- Schroedinger equation
- Gaussian coherent states
- spin coherent states
- bosonic coherent states
- fermionic coherent states
- supercoherent states
- quantum chaos
- quantum groups
- Perelemov coherent states
- Ehrenfest time
- open quantum systems
About this book
This second edition of the outstanding monograph on coherent states by Combescure and Robert published in 2012 is enriched with figures, historical information and numerical simulations and enlarged with five new chapters presenting important rigorous results obtained in the recent years. The new chapters include various applications such as to the time dependent Schroedinger equation and the Ehrenfest time, to the growth of norms and energy exchanges, to chaotic systems and classical systems with quantum ergodic behavior, and to open quantum systems, and to adiabatic decoupling for multicomponent systems
Overall, 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 mathematicalstructures 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, etc.). It goes beyond existing books on coherent states in terms of a rigorous mathematical framework
Authors and Affiliations
Bibliographic Information
Book Title: Coherent States and Applications in Mathematical Physics
Authors: Didier Robert, Monique Combescure
Series Title: Theoretical and Mathematical Physics
DOI: https://doi.org/10.1007/978-3-030-70845-0
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-70844-3Published: 26 May 2021
Softcover ISBN: 978-3-030-70847-4Published: 27 May 2022
eBook ISBN: 978-3-030-70845-0Published: 25 May 2021
Series ISSN: 1864-5879
Series E-ISSN: 1864-5887
Edition Number: 2
Number of Pages: XVII, 577
Number of Illustrations: 9 b/w illustrations, 9 illustrations in colour
Topics: Quantum Physics, Mathematical Physics, Quantum Optics, Mathematical Applications in the Physical Sciences