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Didier Robert,Monique Combescure

Coherent States and Applications in Mathematical Physics

Coherent States and Applications in Mathematical Physics

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This second edition of the monograph on coherent states by Combescure and Robert is enriched with figures, historical information, and numerical simulations, and includes five new chapters on applications such as the Schroedinger equation, growth of norms, chaotic systems, and open quantum systems. It is intended to serve as a compendium on coherent states and their applications for physicists and mathematicians, covering basic mathematical structures and specific examples.

Format: Paperback / softback
Length: 577 pages
Publication date: 27 May 2022
Publisher: Springer Nature Switzerland AG


This second edition of the exceptional monograph on coherent states, written by Combescure and Robert and published in 2012, has been significantly enhanced with numerous figures, historical background, and numerical simulations. In addition, five new chapters have been added, presenting significant rigorous results obtained in recent years. These chapters cover diverse applications, including the time-dependent Schroedinger equation and the Ehrenfest time, the growth of norms and energy exchanges, chaotic systems, and classical systems with quantum ergodic behavior. They also delve into open quantum systems, adiabatic decoupling for multicomponent systems, and other relevant topics.

Overall, this book serves as a comprehensive resource on coherent states and their applications in quantum physics. It encompasses a wide range of topics, from the fundamental mathematical structures of generalized coherent states in the sense of Perelomov to the semiclassical evolution of coherent states and various specific examples such as the hydrogen atom and quantum oscillator. The book aims to serve as a valuable compendium for physicists and mathematicians, spanning from the basic mathematical foundations to advanced applications. It goes beyond existing books on coherent states by providing a rigorous mathematical framework that enables a deeper understanding of these complex phenomena.

Weight: 902g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030708474
Edition number: 2nd ed. 2021

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