| 有多余坐标完整系统的Hojman守恒量 |
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| 引用本文： | 梅凤翔.有多余坐标完整系统的Hojman守恒量[J].商丘师范学院学报,2004,20(5):1-5. |
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| 作者姓名： | 梅凤翔 |
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| 作者单位： | 北京理工大学,力学系,北京,100081 |
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| 基金项目： | 国家自然科学基金(10272021)资助项目 |
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| 摘 要： | 研究有多余坐标完整系统的Hojman守恒量．给出系统Lie对称性与Noether对称性，Lie对称性与形式不变性间的关系．得到特殊Lie对称性、Noether对称性以及形式不变性导致的Hojman守恒量．举例说明结果的应用．
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| 关 键 词： | 分析力学 完整系统 对称性 守恒量 |
| 文章编号： | 1672-3600(2004)05-0001-05 |
| 修稿时间： | 2004年4月9日 |
Hojman conserved quantity for holonomic systems with redundant coordinates |
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| MEI Feng-xiang.Hojman conserved quantity for holonomic systems with redundant coordinates[J].Journal of Shangqiu Teachers College,2004,20(5):1-5. |
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| Authors: | MEI Feng-xiang |
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| Abstract: | The Hojman conserved quantity for the holonomic systems with redundant coordinates is studied.The relation between the Lie symmetry and the Noether symmetry and the relation between the Lie symmetry and the form invariance are given.The Hojman conserved quantities constructed using the special Lie symmetry,the Noether symmetry and the form invariance are obtained.Two examples are given to illustrate the application of the result. |
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| Keywords: | analytical mechanics holonomic system symmetry conserved quantity |
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