一个边界振荡的台球模型的经典及量子特性

CLASSICAL AND QUANTUM BEHAVIOR OF BOUNCING BALL MODEL WITH A OSCILLATING BORDER

报道对一种边界周期振荡的台球模型的研究.作为研究的第一步,对模型的两种极端情况,即台球仅在半圆或略小于半圆的台球场内无耗散地运动的经典和量子情况分别进行了数值的分析,说明在这两种情况下台球都展示典型的保守系统特征,对于边界周期振荡的两种特征性的经典演化特征也作了报道.

This article studies a bouncing ball model in which a discontinuous borderline oscillates so that the ball periodically transfers with in a semi-cycle or an even smaller one. For the two extremities,i, e. the conservative motion of the classic particle inside the fixed semi-cycle or the smaller poolroom ,the numerical investigation shows that typical conservative features are displayed. The quantum correspondence for these two situations is also numerically studied. The two characteristic evolution features of the classic borderline oscillating model are reported.