书目名称 | Transition to Chaos in Classical and Quantum Mechanics |
副标题 | Lectures given at th |
编辑 | Jean Bellissard,Mirko Degli Esposti,John N. Mather |
视频video | |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | The Session was intended to give a broad survey of the mathematical problems arising in the chaotic transition of deterministic dynamical systems, both in classical and quantum mechanics..The lectures of Mather and Forni thoroughly cover the area- preserving twist maps, and include an up-to-date version of the Aubry-Mather theory..The lectures of Bellissard describe the quantum aspects: classical limit, localization, spectral properties of the relevant Schrödinger operators and thus represent an exhaus- tive introduction to the mathematics of "quantum chaos". .The lectures of Degli Esposti et al. reviews equidistribu- tion of unstable periodic orbits and classical limit of quantized toral symplectomorphisms. |
出版日期 | Book 1994 |
关键词 | Aubry-Mather sets; Non commutative methods; classical limit; periodic orbits; quantum chaos; quantum mech |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0074073 |
isbn_softcover | 978-3-540-58416-2 |
isbn_ebook | 978-3-540-48782-1Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1994 |