论文标题
共鸣状态在3盘台球的Casati浪潮数字
Resonance states at Casati wave numbers for the 3-disk billiard
论文作者
论文摘要
第一个Casati Wave Number $ K \ 912 $和第二个Casati Wave Wave Number $ K \约91242 $提出了3盘散射系统的共振状态。它们在相空间中显示了多重分子结构，类似于Casati等人的开拓性工作。 [Physica D 131，311（1999）]用于开放的混沌量子图。在位置空间中，我们观察到沿射线段的疤痕，这与多种折叠性和通用波动有关，这是最近在介电腔中发现的。据我们所知，在第二个Casati波数上，这种共振状态的波数比已发表的3盘散射系统或任何其他开放或封闭的混乱论积更大。
Resonance states of the 3-disk scattering system are presented for the first Casati wave number $k \approx 912$ and the second Casati wave number $k \approx 91242$. They show multifractal structure in phase space, similar to the pioneering work by Casati et al. [Physica D 131, 311 (1999)] for an open chaotic quantum map. In position space we observe scarring along segments of rays, related to multifractality and universal fluctuations, as recently found for dielectric cavities. To the best of our knowledge this resonance state at the second Casati wave number has a much larger wave number than published resonance states for the 3-disk scattering system or any other open or closed chaotic billiard.
