Vibrating soap films: An analog for quantum chaos on billiards

Vibrating soap films: An analog for quantum chaos on billiards
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振动肥皂膜:台球量子混沌的模拟

DOI:
10.1119/1.18913
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发表时间:
1998
影响因子:
0.9
通讯作者:
H. Hernández
H. Hernández
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
E. Arcos;G. Báez;P. A. Cuatlayol;M. Prian;R. A. Méndez;H. Hernández

文献摘要

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我们提出了一个基于振动肥皂膜的正常模式的实验装置,它显示了可积台球和混沌台球的量子特征。特别是,我们获得了经典混沌台球的所谓疤痕——沿着经典周期轨道的高概率窄线性区域。我们证明这些疤痕在低频下也是可见的。最后,我们建议我们的实验装置在其他相关的二维波现象中的一些应用。
We present an experimental setup based on the normal modes of vibrating soap films which shows quantum features of integrable and chaotic billiards. In particular, we obtain the so-called scars—narrow linear regions with high probability along classical periodic orbits—for the classically chaotic billiards. We show that these scars are also visible at low frequencies. Finally, we suggest some applications of our experimental setup in other related two-dimensional wave phenomena.