| Correlation between Chaotic Dynamics and Level Spacings： the Lyapunov and Dixon Dip Approaches to Highly Excited Vibration of Deuterium Cyanide |
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| 引用本文： | 区树清,吴国祯.Correlation between Chaotic Dynamics and Level Spacings： the Lyapunov and Dixon Dip Approaches to Highly Excited Vibration of Deuterium Cyanide[J].中国物理快报,2007,24(7):1841-1844. |
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| 作者姓名： | 区树清 吴国祯 |
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| 作者单位： | Molecular and Nano Sciences Laboratory, Department of Physics, Tsinghua University, Beijing 100084 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No 20373030, the Key Project of the Ministry of Education of China under Grant No 306020. |
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| 摘 要： | Chaotic dynamics of highly excited vibration of deuterium cyanide is explored by two independent approaches： （1） the Lyapunov analysis, based on the classical phase space for the levels, and （2） the Dixon dip analysis based on the concepts of pendulum dynamics and quantized levels. The results show that there is evident correlation between these two algorithms. We also propose that the reciprocal of energy difference between two nearby Dixon dips can be taken as a qualitative measure for the degree of dynamical chaos.
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| 关 键 词： | 混杂编辑 水平间距 氰化氘 振动 |
| 收稿时间： | 2007-2-4 |
| 修稿时间： | 2007-02-04 |
Correlation between Chaotic Dynamics and Level Spacings: the Lyapunov and Dixon Dip Approaches to Highly Excited Vibration of Deuterium Cyanide |
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| OU Shu-Ching,WU Guo-Zhen.Correlation between Chaotic Dynamics and Level Spacings: the Lyapunov and Dixon Dip Approaches to Highly Excited Vibration of Deuterium Cyanide[J].Chinese Physics Letters,2007,24(7):1841-1844. |
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| Authors: | OU Shu-Ching WU Guo-Zhen |
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| Institution: | Molecular and Nano Sciences Laboratory, Department of Physics, Tsinghua University, Beijing 100084 |
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| Abstract: | Chaotic dynamics of highly excited vibration of deuterium cyanide is explored by two independent approaches: (1) the Lyapunov analysis, based on the classical phase space for the levels, and (2) the Dixon dip analysis based on the concepts of pendulum dynamics and quantized levels. The results show that there is evident correlation between these two algorithms. We also propose that the reciprocal of energy difference between two nearby Dixon dips can be taken as a qualitative measure for the degree of dynamical chaos. |
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| Keywords: | 05 45 Mt 31 15 Qg |
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