| Lagrange系统的特殊Noether-Lie对称性和特殊守恒量 |
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| 引用本文： | 贾利群,孙现亭,王肖肖,张美玲,解银丽,田燕宁. Lagrange系统的特殊Noether-Lie对称性和特殊守恒量[J]. 云南大学学报(自然科学版), 2011, 33(3): 294-296 |
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| 作者姓名： | 贾利群 孙现亭 王肖肖 张美玲 解银丽 田燕宁 |
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| 作者单位： | 江南大学理学院;平顶山学院电气信息工程学院; |
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| 基金项目： | 国家自然科学基金资助项目(10572021); 中央高校基本科研业务费专项基金资助(JUSRP31102); 江南大学预研基金资助项目(2008LYY011) |
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| 摘 要： | 在时间t不变群的特殊无限小变换下,研究Lagrange系统的特殊Noether-Lie对称性以及由特殊Noether-Lie对称性导致的特殊Noether守恒量和特殊Hojman守恒量.最后,举例说明结果的应用.
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| 关 键 词： | 特殊无限小变换 Lagrange系统 特殊Noether-Lie对称性 特殊守恒量 |
| 收稿时间： | 2010-10-12 |
Special Noether-Lie symmetry and special conserved quantity of Lagrange system |
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| JIA Li-qun,SUN Xian-ting,WANG Xiao-xiao,ZHANG Mei-ling,XIE Yin-li,TIAN Yan-ning. Special Noether-Lie symmetry and special conserved quantity of Lagrange system[J]. Journal of Yunnan University(Natural Sciences), 2011, 33(3): 294-296 |
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| Authors: | JIA Li-qun SUN Xian-ting WANG Xiao-xiao ZHANG Mei-ling XIE Yin-li TIAN Yan-ning |
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| Affiliation: | JIA Li-qun1,SUN Xian-ting2,WANG Xiao-xiao1,ZHANG Mei-ling1,XIE Yin-li1,TIAN Yan-ning1(1.School of Science,Jiangnan University,Wuxi 214122,China,2.Electric and Information Engineering College,Pingdingshan University,Pingdingshan 467002,China) |
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| Abstract: | Given that the special infinitesimal transformation of groups in which the time is invariable,special Noether-Lie symmetry,special Noether conserved quantity,and special Hojman conserved quantity of special Noether-Lie symmetry of Lagrange system have been investigated.Finally,an example is drawn to illustrate the application of the results. |
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| Keywords: | special infinitesimal transformations Lagrange system special Noether-Lie symmetry special conserved quantity |
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