Periodic-orbit quantization of chaotic systems.
Periodic-orbit quantization of chaotic systems.
复制标题
混沌系统的周期轨道量子化。
DOI：
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发表时间：
1989
影响因子：
8.6
通讯作者：
B. Eckhardt
中科院分区：
文献类型：
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作者：
P. Cvitanovic;B. Eckhardt
我们证明了实用的混沌运动的周期轨道的描述计算从几个周期轨道的大量的量子共振的经典混沌三盘散射问题的高精度估计。本征谱的对称性分解对于经典和量子问题是相同的，并且观察到了精确的量子极点与轨道估计之间的良好一致性
We demonstrate the utility of the periodic-orbit description of chaotic motion by computing from a few periodic orbits highly accurate estimates of a large number of quantum resonances for the classically chaotic three-disk scattering problem. The symmetry decompositions of the eigenspectra are the same for the classical and the quantum problem, and good agreement between the periodic-orbit estimates and the exact quantum poles is observed