| 变质量非完整系统的Lagrange对称性与守恒量 |
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| 引用本文： | 张斌,方建会,张克军.变质量非完整系统的Lagrange对称性与守恒量[J].物理学报,2012,61(2):21101-021101. |
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| 作者姓名： | 张斌 方建会 张克军 |
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| 作者单位： | 中国石油大学(华东)物理科学与技术学院, 青岛 266555;中国石油大学(华东)物理科学与技术学院, 青岛 266555;中国石油大学(华东)物理科学与技术学院, 青岛 266555 |
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| 基金项目： | 中央高校基本科研业务费专项资金(批准号: 09CX04018A)、 山东省自然科学基金(批准号: ZR2011AM012)和中国石油大学(华东)研究生创新工程项目(批准号: CXYB11-12)资助的课题. |
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| 摘 要： | 本文研究变质量非完整系统的Lagrange对称性, 给出变质量非完整系统Lagrange对称性的判据, 得到变质量非完整系统Lagrange对称性导致的守恒量及其存在的条件, 并举例说明结果的应用.
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| 关 键 词： | 变质量 非完整系统 Lagrange对称性 守恒量 |
| 收稿时间： | 2012-02-27 |
Symmetry and conserved quantity of Lagrangians for nonholonomic variable mass system |
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| Zhang Bin,Fang Jian-Hui and Zhang Ke-Jun.Symmetry and conserved quantity of Lagrangians for nonholonomic variable mass system[J].Acta Physica Sinica,2012,61(2):21101-021101. |
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| Authors: | Zhang Bin Fang Jian-Hui and Zhang Ke-Jun |
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| Institution: | College of Physics Science and Technology, China University of Petroleum (East China), Qingdao 266555, China;College of Physics Science and Technology, China University of Petroleum (East China), Qingdao 266555, China;College of Physics Science and Technology, China University of Petroleum (East China), Qingdao 266555, China |
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| Abstract: | In this paper are study the symmetry of Lagrangians and the conserved quantities for a nonholonomic variable mass system. Firstly, the criterion of the symmetry of Lagrangians for a nonholonomic variable mass system is given. Secondly, the conditions under which there exist a conserved quantity and the form of the conserved quantity, are obtained. Finally, an example is given to illustrate the application of the results. |
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| Keywords: | variable mass nonholonomic system symmetry of Lagrangians conserved quantity |
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