| 书目名称 | Elements of Classical and Quantum Integrable Systems | | 编辑 | Gleb Arutyunov | | 视频video | | | 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 | | 丛书名称 | UNITEXT for Physics | | 图书封面 |  | | 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 | | 关键词 | Liouville theory; Weyl symmetry; Moving coordinate systems; n-body problem; Bethe Ansatz; Kolmogorov–Arno | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-24198-8 | | isbn_softcover | 978-3-030-24200-8 | | isbn_ebook | 978-3-030-24198-8Series ISSN 2198-7882 Series E-ISSN 2198-7890 | | issn_series | 2198-7882 | | copyright | Springer Nature Switzerland AG 2019 |
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发表于 2025-3-21 18:44:24
