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Titlebook: Elements of Classical and Quantum Integrable Systems; Gleb Arutyunov Textbook 2019 Springer Nature Switzerland AG 2019 Liouville theory.We

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發(fā)表于 2025-3-21 18:44:24 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Elements of Classical and Quantum Integrable Systems
編輯Gleb Arutyunov
視頻videohttp://file.papertrans.cn/308/307570/307570.mp4
概述Gives a comprehensive introduction into basic aspects of integrability phenomenon.Provides an extensive treatment of representative models both at classical and quantum level with a large amount of de
叢書名稱UNITEXT for Physics
圖書封面Titlebook: Elements of Classical and Quantum Integrable Systems;  Gleb Arutyunov Textbook 2019 Springer Nature Switzerland AG 2019 Liouville theory.We
描述.Integrable models have a fascinating history with many important discoveries that dates back to the famous Kepler problem of planetary motion.?Nowadays it is well recognised that integrable systems play a ubiquitous role in many research areas ranging from quantum field theory,?string theory, solvable models of statistical mechanics, black hole physics, quantum chaos and the AdS/CFT correspondence, to pure mathematics, such as representation theory,?harmonic analysis, random matrix theory and complex geometry.?.Starting with the Liouville theorem and finite-dimensional integrable models, this book covers the basic concepts of integrability including elements of the modern geometric approach based on Poisson reduction,? classical and quantum factorised scattering and various incarnations of the Bethe Ansatz.?Applications of integrability methods are illustrated in vast detail on the concrete examples?of the Calogero-Moser-Sutherland andRuijsenaars-Schneider models, the Heisenberg spin chain and the one-dimensional?Bose gas interacting via a delta-function potential.?This book has intermediate and advanced topics with?details to make them clearly comprehensible..
出版日期Textbook 2019
關(guān)鍵詞Liouville theory; Weyl symmetry; Moving coordinate systems; n-body problem; Bethe Ansatz; Kolmogorov–Arno
版次1
doihttps://doi.org/10.1007/978-3-030-24198-8
isbn_softcover978-3-030-24200-8
isbn_ebook978-3-030-24198-8Series ISSN 2198-7882 Series E-ISSN 2198-7890
issn_series 2198-7882
copyrightSpringer Nature Switzerland AG 2019
The information of publication is updating

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沙發(fā)
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板凳
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https://doi.org/10.1007/978-3-662-02480-5eans of a well-established mathematical procedure. As such, this theorem naturally provides a definition of an integrable system. After a brief reminder on classical mechanics, we present a modern formulation of the Liouville theorem due to Arnold, discuss the symmetry origin of conservation laws an
地板
發(fā)表于 2025-3-22 05:46:52 | 只看該作者
Major Companies of Saudi Arabia,try transformations. Choosing an invariant hamiltonian and removing in a special way the degrees of freedom related to these symmetries, one obtains a new dynamical system on a smaller phase space which turns out to be integrable. The cotangent bundle of a Lie group and the Heisenberg double are rep
5#
發(fā)表于 2025-3-22 09:07:00 | 只看該作者
https://doi.org/10.1057/9781403937339ing about some important tools and concepts like the deformation quantisation and the quantum Yang-Baxter equation, we show how to obtain the main algebraic structures related to the quantum RS models by using the reduction framework developed in the previous chapter. For the CMS and RS models with
6#
發(fā)表于 2025-3-22 14:47:02 | 只看該作者
7#
發(fā)表于 2025-3-22 17:36:55 | 只看該作者
Kathryn Ray,Maria Hudson,Joan Phillipsof the asymptotic wave function and factorisation of the multi-body scattering matrix. Our considerations were done for one-dimensional quantum-mechanical systems defined on an infinite line. To study thermodynamics, one needs, however, to confine the system in a finite volume.
8#
發(fā)表于 2025-3-22 22:30:22 | 只看該作者
proximately. For models with no bound states, by applying the thermodynamic limit to the corresponding Bethe equations, we obtain equations for the ground state. We then consider the case of finite temperature and derive the Yang-Yang equation describing the state of thermodynamic equilibrium. Furth
9#
發(fā)表于 2025-3-23 02:24:58 | 只看該作者
https://doi.org/10.1007/978-3-030-24198-8Liouville theory; Weyl symmetry; Moving coordinate systems; n-body problem; Bethe Ansatz; Kolmogorov–Arno
10#
發(fā)表于 2025-3-23 06:48:21 | 只看該作者
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