標題: | Wave functions with localizations on classical periodic orbits in weakly perturbed quantum billiards |
作者: | Liu, C. C. Lu, T. H. Chen, Y. F. Huang, K. F. 電子物理學系 Department of Electrophysics |
公開日期: | 1-十月-2006 |
摘要: | We analytically investigate quantum wave functions with localizations on classical periodic orbits (POs) in the circular billiards. We construct the coherent states which are the coherent superpositions of nearly degenerate eigenstates and found to be localized around single classical POs. With the constructed coherent states, we can analytically express the mesoscopic eigenstates in the weakly perturbed systems, which are found to be localized on the ensemble of classical POs. Furthermore, these coherent states can be utilized to study the quantum vortex structures in quantum billiards. |
URI: | http://dx.doi.org/10.1103/PhysRevE.74.046214 http://hdl.handle.net/11536/11694 |
ISSN: | 1539-3755 |
DOI: | 10.1103/PhysRevE.74.046214 |
期刊: | PHYSICAL REVIEW E |
Volume: | 74 |
Issue: | 4 |
起始頁: | 0 |
結束頁: | 0 |
顯示於類別: | 期刊論文 |