| 具有单面非完整约束系统的Raitzin正则形式的Noether定理及其逆定理 |
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| 引用本文： | 乔永芬,孟军,李仁杰. 具有单面非完整约束系统的Raitzin正则形式的Noether定理及其逆定理[J]. 信阳师范学院学报(自然科学版), 2002, 15(4): 403-407 |
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| 作者姓名： | 乔永芬 孟军 李仁杰 |
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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： | 应用无限小变换的广义准对称变换，给出具有单面非完整约束系统的Raitzin正则形式的Noether定理及其逆定理。
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| 关 键 词： | 单面非完整约束系统 Raitzin正则形式 逆定理 分析力学 守恒量 对称性 Noether守恒定理 无限小变换 |
| 文章编号： | 1003-0972(2002)04-0403-05 |
Noether''s theorem and its inverse of the Raitzin''s canonical form for dynamical systems with unilateral nonholonomic constraints |
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| QIAO Yong fen,MENG Jun,Li Ren jie. Noether''s theorem and its inverse of the Raitzin''s canonical form for dynamical systems with unilateral nonholonomic constraints[J]. Journal of Xinyang Teachers College(Natural Science Edition), 2002, 15(4): 403-407 |
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| Authors: | QIAO Yong fen MENG Jun Li Ren jie |
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| Abstract: | Based upon the definition of generalized quasi symmetrical transformation under the infinitesimal transformations,the Noether's theorem and its inverse of the Raitzin's canonical form for dynamical systems with unilateral nonholonomic constranes are presented. |
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| Keywords: | analytical mechanics conserved quantity symmetry unilateral constraint Raitzin's canonical equation Noether's conserved theorem |
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