| Birkhoff系统Noether对称性导致的Hojman守恒量 |
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| 引用本文： | 梅凤翔,许学军,秦茂昌.Birkhoff系统Noether对称性导致的Hojman守恒量[J].浙江师范大学学报(自然科学版),2004,27(3):217-220. |
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| 作者姓名： | 梅凤翔 许学军 秦茂昌 |
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| 作者单位： | 1. 北京理工大学,理学院,北京,100081
2. 北京理工大学,理学院,北京,100081;浙江师范大学,数理学院,浙江,金华,321004 |
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| 摘 要： | 提出由Birkhoff系统Noether对称性导出非Noether守恒量的方法.首先,证明系统Noether对称性必然是Lie对称性;其次,将Hojman定理应用于Noether对称性;最后,举例说明结果的应用.
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| 关 键 词： | Birkhoff系统 Noether对称性 Lie对称性 Hojman守恒量 非Noether守恒量 |
| 文章编号： | 1001-5051-(2004)03-0217-04 |
| 修稿时间： | 2004年4月19日 |
Hojman conserved quantity obtained by Noether symmtry for Birkhoff system |
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| MEI Feng-xiang,XU Xue-jun.Hojman conserved quantity obtained by Noether symmtry for Birkhoff system[J].Journal of Zhejiang Normal University Natural Sciences,2004,27(3):217-220. |
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| Authors: | MEI Feng-xiang XU Xue-jun |
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| Institution: | MEI Feng-xiang~1,XU Xue-jun~ |
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| Abstract: | A non-Noether conserved quantity constructed by using the Noether symmetry of a Birkhoff system is proposed. First,the fact that the Noether symmetry of the system is sure to be a Lie symmetry is proved.Second,the Hojman theory is generalized to the case in which the symmetry is a Noether one.An example is finally given to illustrate the application of the result. |
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| Keywords: | Birkhoff system Noether symmetry Lie symmetry Hojman comserved quantity non-Noether conserved quantity |
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