| Hojman conserved quantity deduced by weak Noether symmetry for Lagrange systems |
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| 引用本文： | 解加芳,冮铁强,梅凤翔. Hojman conserved quantity deduced by weak Noether symmetry for Lagrange systems[J]. 中国物理 B, 2008, 17(2): 390-393 |
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| 作者姓名： | 解加芳 冮铁强 梅凤翔 |
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| 作者单位： | Department of Mechanics, Faculty of Science, BeijingInstitute of Technology, Beijing 100081, China;Department of Mechanics, Faculty of Science, BeijingInstitute of Technology, Beijing 100081, China;Department of Mechanics, Faculty of Science, BeijingInstitute of Technology, Beijing 100081, China |
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| 基金项目： | Project supported by the NationalNatural Science Foundation of China (Grant Nos 10572021 and10772025) and the Doctoral Program Foundation of Institution ofHigher Education of China (Grant No 20040007022). |
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| 摘 要： | This paper studies the Hojman conserved quantity, a non-Noether conserved quantity, deduced by special weak Noether symmetry for Lagrange systems. Under special infinitesimal transformations in which the time is not variable, its criterion is given and a method of how to seek the Hojman conserved quantity is presented. A Hojman conserved quantity can be found by using the special weak Noether symmetry.
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| 关 键 词： | 拉格朗日系统 Hojman守恒量 Noether对称性 分析力学 |
| 收稿时间： | 2007-04-04 |
| 修稿时间： | 2007-05-23 |
Hojman conserved quantity deduced by weak Noether symmetry for Lagrange systems |
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| Xie Jia-Fang,Gang Tie-Qiang and Mei Feng-Xiang. Hojman conserved quantity deduced by weak Noether symmetry for Lagrange systems[J]. Chinese Physics B, 2008, 17(2): 390-393 |
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| Authors: | Xie Jia-Fang Gang Tie-Qiang Mei Feng-Xiang |
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| Affiliation: | Department of Mechanics, Faculty of Science, BeijingInstitute of Technology, Beijing 100081, China |
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| Abstract: | This paper studies the Hojman conserved quantity, a non-Noetherconserved quantity, deduced by special weak Noether symmetry forLagrange systems. Under special infinitesimal transformations inwhich the time is not variable, its criterion is given and a methodof how to seek the Hojman conserved quantity is presented. A Hojmanconserved quantity can be found by using the special weak Noethersymmetry. |
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| Keywords: | Lagrange system special weakNoether symmetry Hojman conserved quantity |
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