| 书目名称 | Symplectic Geometry and Quantum Mechanics |
| 编辑 | Maurice Gosson |
| 视频video | |
| 概述 | Complete theory of the Maslov index and its variants.Discussion of the metaplectic group and the Conley-Zehnder index.Rigorous mathematical treatment of the Schrödinger equation in phase space.Include |
| 丛书名称 | Operator Theory: Advances and Applications |
| 图书封面 |  |
| 描述 | Introduction We have been experiencing since the 1970s a process of “symplectization” of S- ence especially since it has been realized that symplectic geometry is the natural language of both classical mechanics in its Hamiltonian formulation, and of its re?nement,quantum mechanics. The purposeof this bookis to providecorema- rial in the symplectic treatment of quantum mechanics, in both its semi-classical and in its “full-blown” operator-theoretical formulation, with a special emphasis on so-called phase-space techniques. It is also intended to be a work of reference for the reading of more advanced texts in the rapidly expanding areas of sympl- tic geometry and topology, where the prerequisites are too often assumed to be “well-known”bythe reader. Thisbookwillthereforebeusefulforbothpurema- ematicians and mathematical physicists. My dearest wish is that the somewhat novel presentation of some well-established topics (for example the uncertainty principle and Schrod ¨ inger’s equation) will perhaps shed some new light on the fascinating subject of quantization and may open new perspectives for future - terdisciplinary research. I have tried to present a balanced account of topics |
| 出版日期 | Book 2006 |
| 关键词 | Heisenberg group; Lie group; Weyl calculus; phase space; quantum mechanics; symplectic geometry; partial d |
| 版次 | 1 |
| doi | https://doi.org/10.1007/3-7643-7575-2 |
| isbn_ebook | 978-3-7643-7575-1Series ISSN 0255-0156 Series E-ISSN 2296-4878 |
| issn_series | 0255-0156 |
| copyright | Springer Basel 2006 |
发表于 2025-3-21 19:46:20
