利用沿周期轨道演化态构造谐振环的半经典波函数(英文)

Semiclassical Wave Function of a Resonance Torus by Evolving State along Periodic Orbits

介绍了如何利用沿着环上的周期轨道演化态构造一个环绕数为n/m,且满足E inste in-B rillou in-Ke ller量子化条件的谐振环的半经典波函数.数值上,我们选择一个环绕数为29/39的谐振环(非常接近于量子化环(8,3))构造波函数.

In this paper we show the construction of a semiclassical wave function for a resonance torus with winding number n/m, and satisfying the Einstein-Brillouin-Keller （EBK） quantization condition, by evolving a state along periodic orbits on the torus. Numerically, we choose a resonance torus of winding number 29/39, a very close periodic torus convergent to the quantizing torus corresponding to state （8,3）, to build wave function.