| 相空间中离散完整系统Mei对称性摄动与绝热不变量 |
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| 引用本文： | 张克军,方建会,李燕.相空间中离散完整系统Mei对称性摄动与绝热不变量[J].苏州科技学院学报(自然科学版),2011,28(2):19-23. |
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| 作者姓名： | 张克军 方建会 李燕 |
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| 作者单位： | 中国石油大学(华东)物理科学与技术学院,山东,青岛,266555 |
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| 基金项目： | 中央高校基本科研专项基金资助项目 |
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| 摘 要： | 研究相空间中离散完整系统Mei对称性摄动和绝热不变量。给出未受扰动系统Mei对称性导致的精确不变量,讨论在小扰动作用下系统Mei对称性的摄动,得到系统的Mei对称性摄动导致的绝热不变量。最后举例说明结果的应用。
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| 关 键 词： | 相空间 离散完整系统 Mei对称性 摄动 绝热不变量 |
Perturbation to Mei symmetry and adiabatic invariants for discrete holonomic systems in phase space |
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| ZHANG Kejun,FANG Jianhui,LI Yan.Perturbation to Mei symmetry and adiabatic invariants for discrete holonomic systems in phase space[J].Journal of University of Science and Technology of Suzhou,2011,28(2):19-23. |
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| Authors: | ZHANG Kejun FANG Jianhui LI Yan |
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| Institution: | ZHANG Kejun,FANG Jianhui,LI Yan(College of Physics Science and Technology,China University of Petroleum,Qingdao 266555,China) |
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| Abstract: | This paper studies perturbation to Mei symmetry and adiabatic invariants for discrete holonomic systems in phase space.The exact invariants of Mei symmetry for systems without perturbation are given.The perturbation to Mei symmetry is discussed under the effect of small quantities.The adiabatic invariants induced from the perturbation to Mei symmetry of systems are obtained.Finally,an example is given to illustrate the application of the results. |
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| Keywords: | phase space discrete holonomic systems Mei symmetry perturbation adiabatic invariant |
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