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物理学报. 2005, 54(10): 4538-4542.
doi: 10.7498/aps.54.4538.
二维椭圆量子台球中的谱分析
- 收稿日期: 2005-01-27
- 修回日期: 2005-03-07
- 刊出日期: 2005-05-05
English Abstract
Spectra analysis of the two-dimensional elliptic billiards
- Received Date:
27 January 2005
- Accepted Date:
07 March 2005
- Published Online:
05 May 2005
Abstract: The correspondence between the quantum spectra and the classical orbits of the two-dimensional elliptic billiards is investigated. In order to study systems without analytic solutions in the future, an expansion method for stationary states (EMSS) to get highly accurate numerical solutions is applied and tested. The closed-orbit theory was extended to the open orbit case. By comparing the Fourier-transformed spectra with the classical orbits, we find that the peak positions in the quantum spectra match with the lengths of the classical orbits with small numerical differences. This is another example showing that semiclassical method provides a bridge between quantum and classical mechanics.
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