| 一阶Lagrange系统的Lie对称性与守恒量 |
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| 引用本文： | 梅凤翔,尚玫.一阶Lagrange系统的Lie对称性与守恒量[J].物理学报,2000,49(10):1901-1903. |
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| 作者姓名： | 梅凤翔 尚玫 |
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| 作者单位： | 北京理工大学应用力学系，北京 100081 |
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| 基金项目： | 国家自然科学基金(批准号：19972010)和高校博士点专项基金资助的课题. |
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| 摘 要： | 将一阶微分方程组化成一阶Lagrange方程.利用常微分方程在无限小变换下的不变性，建立L ie对称性的确定方程.给出Lie对称性导致守恒量的条件以及守恒量的形式.
关键词：
一阶Lagrange系统
Lie对称性
守恒量
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| 关 键 词： | 一阶Lagrange系统 Lie对称性 守恒量 |
| 收稿时间： | 3/1/2000 12:00:00 AM |
LIE SYMMETRIES AND CONSERVED QUANTITIES OF FIRST ORDER LAGRANGE SYSTEMS |
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| MEI FENG-XIANG,SHANG MEI.LIE SYMMETRIES AND CONSERVED QUANTITIES OF FIRST ORDER LAGRANGE SYSTEMS[J].Acta Physica Sinica,2000,49(10):1901-1903. |
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| Authors: | MEI FENG-XIANG SHANG MEI |
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| Abstract: | In this paper, a system of first order ordinary differential equations is expressed in the form of first order Lagrange equations.The determining equations of L ie symmetries are established by the invariance of the ordinary differential equ ations under the infinitesimal transformations. The condition under which a Lie symmetry can lead to a conserved quantity is obtained and the form of the conser ved quantities is given. |
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| Keywords: | First order Lagrange system Lie symmetry conserved quantity |
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