Kaplan L
Institute for Nuclear Theory and Department of Physics, University of Washington, Seattle, Washington 98195, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Sep;64(3 Pt 2):036225. doi: 10.1103/PhysRevE.64.036225. Epub 2001 Aug 30.
We study wave function structure for quantum graphs in the chaotic and disordered regime, using measures such as the wave function intensity distribution and the inverse participation ratio. The result is much less ergodicity than expected from random matrix theory, even though the spectral statistics are in agreement with random matrix predictions. Instead, analytical calculations based on short-time semiclassical behavior correctly describe the eigenstate structure.
我们使用诸如波函数强度分布和逆参与率等方法，研究了处于混沌和无序状态的量子图的波函数结构。结果表明，尽管光谱统计与随机矩阵理论的预测一致，但其遍历性远低于随机矩阵理论的预期。相反，基于短时间半经典行为的解析计算能够正确地描述本征态结构。
