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Titlebook: Coherent States and Applications in Mathematical Physics; Didier Robert,Monique Combescure Book 2021Latest edition Springer Nature Switzer

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书目名称Coherent States and Applications in Mathematical Physics
编辑Didier Robert,Monique Combescure
视频videohttp://file.papertrans.cn/230/229223/229223.mp4
概述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
丛书名称Theoretical and Mathematical Physics
图书封面Titlebook: Coherent States and Applications in Mathematical Physics; Didier Robert,Monique Combescure Book 2021Latest edition Springer Nature Switzer
描述.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 g
出版日期Book 2021Latest edition
关键词Weyl quantization; quadratic Hamiltonians; hydrogen atom; quantum oscillator; Herman-Kluck approximation
版次2
doihttps://doi.org/10.1007/978-3-030-70845-0
isbn_softcover978-3-030-70847-4
isbn_ebook978-3-030-70845-0Series ISSN 1864-5879 Series E-ISSN 1864-5887
issn_series 1864-5879
copyrightSpringer Nature Switzerland AG 2021
The information of publication is updating

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Bosch Fachinformation Automobilical parameter . giving in particular the well known Ehrenfest time of order .. We then provide two applications of the semiclassical estimates: the first one concerns the semiclassical estimate of the spreading of quantum wave packets, which are coherent states, in terms of the Lyapunov exponents o
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Sicherheitsaspekte bei Sensoren,an Ehrenfest time, ., where . is a stability parameter for the classical system. Most of the results can be extended to multi-component systems with constant multiplicities, like Dirac operators (see Chap. .). Finally the results are applied to recover the Van-Vleck formula and to revisit the Aharon
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Introduction to Coherent StatesPerelomov [208] (Generalised Coherent States and Their Applications, 1986) to more general Lie groups than the Weyl–Heisenberg group. We also introduce the usual creation and annihilation operators in dimension . which are very convenient for the study of coherent states. We show that coherent state
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Weyl Quantization and Coherent States operationnal calculus and applications to propagation of observables. We show that Wick quantization is a natural bridge between Weyl quantization and coherent states. Applications are given to the semi-classical limit after introducing an efficient modern tool: the semi-classical measures. We illu
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