| 约束对Birkhoff系统Noether对称性和守恒量的影响 |
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| 引用本文： | 张毅,梅凤翔.约束对Birkhoff系统Noether对称性和守恒量的影响[J].物理学报,2004,53(8):2419-2423. |
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| 作者姓名： | 张毅 梅凤翔 |
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| 作者单位： | (1)北京理工大学理学院，北京 100081; (2)苏州科技学院土木工程系，苏州 215011 |
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| 基金项目： | 国家自然科学基金（批准号：10272021）及江苏省“青蓝”工程基金资助的课题. |
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| 摘 要： | 研究约束对Birkhoff系统的Noether对称性和守恒量的影响．首先，建立了Birkhoff系统的运动微分方程．其次，给出了系统Noether对称性的判据．然后，讨论了受约束作用后，Birkhoff系统的Noether对称性发生的变化，并给出了系统的Noether对称性以及守恒量保持不变的条件．最后，举例说明结果的应用．
关键词：
分析力学
Birkhoff系统
约束
Noether对称性
守恒量
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| 关 键 词： | 分析力学 Birkhoff系统 约束 Noether对称性 守恒量 |
| 文章编号： | 1000-3290/2004/53(08)/2419-05 |
| 收稿时间： | 2003-08-29 |
Effects of constraints on Noether symmetries and conserved quantities in a Birkhoffian system |
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| Zhang Yi and Mei Feng-Xiang.Effects of constraints on Noether symmetries and conserved quantities in a Birkhoffian system[J].Acta Physica Sinica,2004,53(8):2419-2423. |
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| Authors: | Zhang Yi and Mei Feng-Xiang |
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| Abstract: | The effects of constraints on Noether symmetries and conserved quantities in a Birkhoffian system are studied. Firstly, the differential equations of the Birkhoffian system are established. Secondly, the criteria of Noether symmetries of the system are given. Thirdly, when constraints are inserted in the system, the variations that occur in the Noether symmetries are discussed, and the conditions under which the Noether symmetries and the conserved quantities of the system will remain unchanged are given. Finally, the results are applied to an illustrative example. |
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| Keywords: | analytical mechanics Birkhoffian system constraint Noether symmetry conserved quantity |
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