| 书目名称 | Quantum versus Classical Mechanics and Integrability Problems | | 副标题 | towards a unificatio | | 编辑 | Maciej Błaszak | | 视频video | http://file.papertrans.cn/782/781556/781556.mp4 | | 概述 | Detailed presentation of an original approach to the theory of quantum integrable systems.With a broad introduction to the general relation between classical and quantum mechanics.Highlights Examples | | 图书封面 |  | | 描述 | This accessible monograph introduces physicists to the general relation between classical and quantum mechanics based on the mathematical idea of deformation quantization and describes an original approach to the theory of quantum integrable systems developed by the author..The first goal of the book is to develop of a common, coordinate free formulation of classical and quantum Hamiltonian mechanics, framed in common mathematical language..In particular, a coordinate free model of quantum Hamiltonian systems in Riemannian spaces is formulated, based on the mathematical idea of deformation quantization, as a complete physical theory with an appropriate mathematical accuracy..The second goal is to develop of a theory which allows for a deeper understanding of classical and quantum integrability. For this reason the modern separability theory on both classical and quantum level is presented. In particular, the book presents a modern geometric separability theory, based on bi-Poissonian and bi-presymplectic representations of finite dimensional Liouville integrable systems and their admissible separable quantizations..The book contains also a generalized theory of classical Stäckel tr | | 出版日期 | Book 2019 | | 关键词 | deformation quantization; geometric deformation; separability theory; bosonic systems; quantum integrabi | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-18379-0 | | isbn_softcover | 978-3-030-18381-3 | | isbn_ebook | 978-3-030-18379-0 | | copyright | Springer Nature Switzerland AG 2019 |
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