| 非完整变转动惯量相对论系统的Noether守恒量 |
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| 引用本文： | 乔永芬,李仁杰,孟军.非完整变转动惯量相对论系统的Noether守恒量[J].信阳师范学院学报(自然科学版),2002,15(1):47-51. |
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| 作者姓名： | 乔永芬 李仁杰 孟军 |
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| 作者单位： | 东北农业大学,工程学院,黑龙江,哈尔滨,150030 |
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| 摘 要： | 研究非完整变转动惯量相对论系统Noether守恒量。给出变转动惯量相对论系统的D‘Alembert原理，利用其在无限小变换下的不变性条件，得到非完整变转动惯量相对论系统的Noether守恒量存在的条件和形式，并举例说明结果的应用。
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| 关 键 词： | 分析力学 Noether守恒量 非完整变转动惯量相对论系统 D‘Alembert原理 无限小变换 |
| 文章编号： | 1003-0972(2002)01-0047-05 |
Noether's conserved quantities of nonholonomic variable moment of inertia relativistic systems |
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| QIAO Yong-fen,LI Ren-jie,MENG Jun.Noether''s conserved quantities of nonholonomic variable moment of inertia relativistic systems[J].Journal of Xinyang Teachers College(Natural Science Edition),2002,15(1):47-51. |
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| Authors: | QIAO Yong-fen LI Ren-jie MENG Jun |
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| Abstract: | The Noether's conserved quantities of nonholonomic variable moment of inertin relativistic systems are studied.The D'Alembert's principle of the variable moment of inertia relativistic tystems is given,and on the basis of the invariance condition of the principle under the infinitesimal transformation,the existential condition and form of the Noether's conserved quantities for the above systems are obtained.Finally one example showing the application of the results is given. |
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| Keywords: | analytical mechanics variable moment of inertia nonholonomic relativistic Noether's conserved quantity |
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