从量子谱到经典轨道:矩形腔中的弹子球

From quantum spectra to classical orbits: the rectangular billiards

用体系的本征值和本征波函数定义一种新的量子谱函数 .这种量子谱函数的傅里叶变换包含了体系从一个给定点到另一个给定点的许多经典轨道的信息 .以二维矩形腔中的弹子球运动体系为例的初步研究验证了这一结论 .

A new quantum spectrum function is defined using the eigenvalues and eigenfunctions of the system considered. We study the two_dimensional rectangular billiard, and find that the Fourier transform of the spectrum function reveals the classical orbits from one point to another.