| 二维siani台球中的量子与经典对应 |
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| 引用本文： | 郭文豪,徐学友,赵霞,于永丽,林圣路.二维siani台球中的量子与经典对应[J].山东师范大学学报(自然科学版),2006,21(3):64-66. |
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| 作者姓名： | 郭文豪 徐学友 赵霞 于永丽 林圣路 |
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| 作者单位： | 山东师范大学物理与电子科学学院,250014,济南 |
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| 摘 要： | 研究了二维sinai台球的经典与量子的对应，运用闭合轨道理论及定态展开方法计算了傅立叶变换的量子谱．把傅立叶变换后的量子谱中峰的位置与其所对应的经典轨道长度作对照，我们发现两者之间存在着对应关系．为我们理解量子混沌性提出了新的线索．
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| 关 键 词： | sinai 台球 量子谱 定态展开方法 闭合轨道理论 量子混沌 |
| 收稿时间： | 2006-04-04 |
| 修稿时间： | 2006-04-04 |
THE CORRESPONDENCE BETWEEN THE QUANTUM AND CLASSICAL MECHANICS IN THE TWO- DIMENSIONAL SINAI BILLIARD |
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| Guo Wenhao,Xu Xueyou,Zhao Xia,Yu Yongli,Lin Shenglu.THE CORRESPONDENCE BETWEEN THE QUANTUM AND CLASSICAL MECHANICS IN THE TWO- DIMENSIONAL SINAI BILLIARD[J].Journal of Shandong Normal University(Natural Science),2006,21(3):64-66. |
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| Authors: | Guo Wenhao Xu Xueyou Zhao Xia Yu Yongli Lin Shenglu |
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| Institution: | College of Physics and Electronics,Shandong Normal University, 250014,Jinan, China |
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| Abstract: | The correspondence between the quantum and classical mechanics in the two-dimensional sinai billiard is investigated by using the closed-orbit theory and the Expansion Method for Stationary States(EMSS) to calculate the quantum spectra.By comparing the Fourier-transformed spectra with the classical orbits,we find that the peaks'(positions) in the quantum spectra match with the lengths of the classical orbits well.This provides us a new(method)(to)(understand) behaviour of quantum chaos. |
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| Keywords: | quantum sinai billiard closed- orbit theory quantum spectra the Expansion Method for Stationary States quantum chaos |
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