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Semiclassical Analysis of Quarter Stadium Billiards |
| XU Xue-You;GAO Song;GUO Wen-Hao;ZHANG Yan-Hui;LIN Sheng-Lu |
| College of Physics and Electronics, Shandong Normal University, Jinan 250014 |
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| Cite this article: |
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XU Xue-You, GAO Song, GUO Wen-Hao et al 2006 Chin. Phys. Lett. 23 765-767 |
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Abstract An expansion method for stationary states is applied to obtain the eigenfunctions and the eigenenergies of the quarter stadium billiard, and its nearest energy-level spacing distribution is obtained. The histogram is consistent with the standard Wigner distribution, which indicates that the stadium billiard system is chaotic. Particular attention is paid to pursuing the quantum manifestations of such classical chaos. The correspondences between the Fourier transformation of quantum spectra and classical orbits are investigated by using the closed-orbit theory. The analytical and numerical results are in agreement with the required resolution, which corroborates that the semiclassical method provides a physically meaningful image to understand such chaotic systems.
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| Keywords:
03.65.Sq
05.45.Mt
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Published: 01 April 2006
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| PACS: |
03.65.Sq
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(Semiclassical theories and applications)
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05.45.Mt
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(Quantum chaos; semiclassical methods)
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