| 书目名称 | Mathematical Topics Between Classical and Quantum Mechanics | | 编辑 | N. P. Landsman | | 视频video | | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 描述 | Subject Matter The original title of this book was Tractatus Classico-Quantummechanicus, but it was pointed out to the author that this was rather grandiloquent. In any case, the book discusses certain topics in the interface between classical and quantum mechanics. Mathematically, one looks for similarities between Poisson algebras and symplectic geometry on the classical side, and operator algebras and Hilbert spaces on the quantum side. Physically, one tries to understand how a given quan tum system is related to its alleged classical counterpart (the classical limit), and vice versa (quantization). This monograph draws on two traditions: The algebraic formulation of quan tum mechanics and quantum field theory, and the geometric theory of classical mechanics. Since the former includes the geometry of state spaces, and even at the operator-algebraic level more and more submerges itself into noncommutative geometry, while the latter is formally part of the theory of Poisson algebras, one should take the words "algebraic" and "geometric" with a grain of salt! There are three central themes. The first is the relation between constructions involving observables on one side, and pur | | 出版日期 | Book 1998 | | 关键词 | Mathematica; classical mechanics; field theory; functional analysis; gauge theories; mechanics; quantizati | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-1680-3 | | isbn_softcover | 978-1-4612-7242-7 | | isbn_ebook | 978-1-4612-1680-3Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer Science+Business Media New York 1998 |
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发表于 2025-3-21 16:49:37
