论文标题
香槟瓶潜力的古典和量子单曲子
The Classical and Quantum Monodromy of the Champagne bottle potential
论文作者
论文摘要
香槟酒瓶是表现出非平凡的古典单曲霉的Liouville集成系统的最简单，典型的例子之一。这种几何不变在全球范围内呈现了短语空间上的动作角坐标的存在。但是，我们的作品通过查看单个操作员的光谱来显示一种新的方法来检测短语空间上的几何修饰，这是一个小型的非偏爱聚会的扰动，即自助式半经典操作员接受香槟瓶的汉密尔顿瓶作为其主要符号。
The Champagne bottle is one of the simplest and typical examples of Liouville integrable systems that exhibit a non-trivial classical monodromy. This geometrical invariant perturbs globally the existence of action-angle coordinates on the phrase space. However, our work shows a new way to detect the geometric modification on the phrase space by looking at the spectrum of a single operator, that is small non-selfadjoint perturbation of a selfadjoint semiclassical operator accepting the Hamiltonian of the Champagne bottle as its principal symbol.
