| 转动系统相对论性动力学方程的代数结构与Poisson积分 |
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| 引用本文： | 傅景礼,陈向炜,罗绍凯.转动系统相对论性动力学方程的代数结构与Poisson积分[J].应用数学和力学,1999,20(11):1175-1182. |
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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： | 商丘师专, 河南商丘476000 |
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| 基金项目： | 国家自然科学基金，河南省自然科学基金 |
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| 摘 要： | 研究转动相对论系统动力学方程的代数结构,得到了完整保守转动相对论系统与特殊非完整转动相对论系统动力学方程具有Lie代数结构;一般完整转动相对论系统、一般非完整转动相对论系统动力学方程具有Lie容许代数结构。并给出转动相对论系统动力学方程的Poisson积分。
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| 关 键 词： | 转动系统 相对论 分析力学 运动方程 代数结构 Poisson积分 |
| 收稿时间： | 1998-05-11 |
Algebraic Structures and Poisson Integrals of Relativistic Dynamical Equations for Rotational Systems |
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| Fu Jingli,Chen Xiangwei,Luo Shaokai.Algebraic Structures and Poisson Integrals of Relativistic Dynamical Equations for Rotational Systems[J].Applied Mathematics and Mechanics,1999,20(11):1175-1182. |
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| Authors: | Fu Jingli Chen Xiangwei Luo Shaokai |
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| Institution: | Shangqiu Teachers College, Shangqiu, Henan 476000, P R China |
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| Abstract: | The algebraic structures of the dynamical equations for the rotational relativistic systems are studied. It is found that the dynamical equations of holonomic conservative rotational relativistic systems and the special nonholonomic rotational relativistic systems have Lie's algebraic structure, and the dynamical equations of the general holonomic rotational relativistic systems and the general nonholonomic rotational relativistic systems have Lie admitted algebraic structure. At last the Poisson integrals of the dynamical equations for the rotational relativistic systems are given. |
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| Keywords: | rotational systems relativity analytic mechanics equation of motion algebraic structure Poisson integral |
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