| 转动相对论系统的Lie对称性和守恒量 |
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| 引用本文： | 傅景礼,陈向炜,罗绍凯.转动相对论系统的Lie对称性和守恒量[J].应用数学和力学,2000,21(5):495-500. |
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| 作者姓名： | 傅景礼 陈向炜 罗绍凯 |
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| 作者单位： | 商丘师范学院,数学力学与数学物理研究所,河南商丘,476000 |
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| 基金项目： | 国家自然科学基金!(19972 0 10 )，河南省自然科学基金资助课题!(9340 6 0 80 0 ,984 0 5310 0 ) |
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| 摘 要： | 研究转动相对论性完整与非完整力学系统的Ｌｉｅ对称性和守恒量。定义转动相对论力学系统的无限小变换生成元，利用微分方程在无限小变换下的不变性，建立转动相对论性力学系统的Ｌｉｅ对称确定方程，得到结构方程和守恒量的形式，并给出应用实例。
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| 关 键 词： | 转动系统 相对论 分析力学 守恒量 李对称性 |
| 修稿时间： | 1998-08-06 |
Lie Symmetries and Conserved Quantities of Rotational Relativistic Systems |
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| Fu Jingli,Chen Xiangwei,Luo Shaokai.Lie Symmetries and Conserved Quantities of Rotational Relativistic Systems[J].Applied Mathematics and Mechanics,2000,21(5):495-500. |
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| Authors: | Fu Jingli Chen Xiangwei Luo Shaokai |
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| Abstract: | The Lie symmetries and conserved quantities of the rotational relativistic holonomic and nonholonomic systems were studied. By defining the infinitesimal transformations' generators and by using the invariance of the differential equations under the infinitesimal transformations, the determining equations of Lie symmetries for the rotational ralativistic mechanical systems are established. The structure equations and the forms of conserved quantities are obtained. An example to illustrate the application of the results is given. |
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| Keywords: | rotational systems relativity analytic mechanics Lie symmetry conserved quantity differential equation |
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