Extracting trajectory equations of classical periodic orbits from the quantum eigenmodes in two-dimensional integrable billiards

Y. H. Hsieh, Y. T. Yu, P. H. Tuan, J. C. Tung, Kai-Feng Huang, Yung-Fu Chen*

*此作品的通信作者

研究成果: Article同行評審

4 引文 斯高帕斯(Scopus)

摘要

The trajectory equations for classical periodic orbits in the equilateral-triangular and circular billiards are systematically extracted from quantum stationary coherent states. The relationship between the phase factors of quantum stationary coherent states and the initial positions of classical periodic orbits is analytically derived. In addition, the stationary coherent states with noncoprime parametric numbers are shown to correspond to the multiple periodic orbits, which cannot be explicable in the one-particle picture. The stationary coherent states are further verified to be linked to the resonant modes that are generally observed in the experimental wave system excited by a localized and unidirectional source. The excellent agreement between the resonant modes and the stationary coherent states not only manifests the importance of classical features in experimental systems but also paves the way to manipulate the mesoscopic wave functions localized on the periodic orbits for applications.

原文English
文章編號022214
期刊Physical Review E
95
發行號2
DOIs
出版狀態Published - 21 2月 2017

指紋

深入研究「Extracting trajectory equations of classical periodic orbits from the quantum eigenmodes in two-dimensional integrable billiards」主題。共同形成了獨特的指紋。

引用此