量子混沌研究的拓扑途径

Topological Approach to the Study of Quantum Chaotic Motions

本文概述了量子混沌研究的拓扑途径,按这一途径探讨了量子体系完全可积的条件,通向不可积的机制,以及在量子不可积条件下的运动特征,还给出了一些例子的数值计算结果以说明这些问题。

The topological approach to the study of quantum chaotic motions is outlined .Withthis approach, the condition for complete integrability of quantum systems, the mecha-nism leading to quantum nonintegrability and the characteristic features of motions ofquantum nonintegrable systems are discussed. Numerical results of certain schematicesystems are given as illastration.