Ree S, Reichl L E
Center for Studies in Statistical Mechanics and Complex Systems, The University of Texas at Austin, Austin, Texas 78712, USA.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Aug;60(2 Pt A):1607-15. doi: 10.1103/physreve.60.1607.
We study classical and quantum dynamics of a particle in a circular billiard with a straight cut. Classically, this system can be integrable, nonintegrable with soft chaos, or nonintegrable with hard chaos as we vary the size of the cut. We plot Poincaré surfaces of section to study chaos. Quantum mechanically, we look at Husimi plots, and also use the quantum web, the technique primarily used in spin systems so far, to try to see differences in quantum manifestations of soft and hard chaos.
我们研究了一个带有直线切口的圆形台球中粒子的经典动力学和量子动力学。在经典情况下，随着我们改变切口的大小，这个系统可以是可积的、具有软混沌的不可积系统或具有硬混沌的不可积系统。我们绘制截面的庞加莱曲面来研究混沌。在量子力学中，我们观察胡西米分布图，并且还使用量子网（一种迄今为止主要用于自旋系统的技术）来尝试查看软混沌和硬混沌在量子表现上的差异。
