Quantum Monodromy and Bohr–Sommerfeld Rules
Quantum Monodromy and Bohr–Sommerfeld Rules
复制标题
量子一律和玻尔-索末菲规则
DOI：
10.1023/a:1010944312712
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发表时间：
2001
影响因子：
1.2
通讯作者：
San Vũ Ngọc
中科院分区：
文献类型：
--
作者：
San Vũ Ngọc
本文基于第戎2000年暑期班的一次演讲《拓扑学和几何方法：动力系统的应用》。回顾了完全可积经典系统的单调不变量的标准定义，并解释了与交换算符的联合谱中观察到的量子单调不变量之间的联系。数学处理依赖于一个现代的、有吸引力的玻尔-索末菲量化规则。
This article is based on a talk given in Dijon for the 2000 summer school ‘Topological and Geometrical Methods: Applications to Dynamical Systems’. The standard definitions of the monodromy invariant for completely integrable classical systems are reviewed, and the link to the quantum monodromy observed in the joint spectrum of commuting operators is explained. The mathematical treatment relies on a modern and attractive version of the Bohr–Sommerfeld quantisation rules.