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| 事件空间中完整系统的Lie对称性与绝热不变量 | |
| 引用本文： | 张毅. 事件空间中完整系统的Lie对称性与绝热不变量[J]. 物理学报, 2007, 56(6): 3054-3059 |
| 作者姓名： | 张毅 |
| 作者单位： | 苏州科技学院土木工程系，苏州 215011 |
| 基金项目： | 江苏省高校自然科学基金 |
| 摘 要： | 研究事件空间中完整力学系统Lie对称性的摄动与绝热不变量.基于力学系统的高阶绝热不变量的概念，研究在小扰动作用下系统Lie对称性的摄动，得到了事件空间中完整力学系统的一类Hojman形式的高阶绝热不变量，给出了绝热不变量存在的条件及形式.并举例说明结果的应用.关键词：事件空间对称性摄动绝热不变量 |
| 关 键 词： | 事件空间 对称性 摄动 绝热不变量 |
| 文章编号： | 1000-3290/2007/56(06)/3054-06 |
| 收稿时间： | 2006-08-23 |
| 修稿时间： | 2006-08-23 |
Lie symmetries and adiabatic invariants for holonomic systems in event space |
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| Zhang Yi. Lie symmetries and adiabatic invariants for holonomic systems in event space[J]. Acta Physica Sinica, 2007, 56(6): 3054-3059 | |
| Authors: | Zhang Yi |
| Affiliation: | Department of Civil Engineering, University of Science and Technology of Suzhou, Suzhou 215011, China |
| Abstract: | The perturbations of Lie symmetries and adiabatic invariants for holonomic mechanical systems in event space are studied. Based on the definition of high-order adiabatic invariants of a mechanical system, the perturbation of Lie symmetries for the system under the action of small disturbance is investigated, and a type of Hojman high-order adiabatic invariants of the system are obtained. The conditions for the existence of the adiabatic invariants and the form of the adiabatic invariants are given. An example is presented to illustrate the results. |
| Keywords: | event space symmetry perturbation adiabatic invariant |
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