转动系统相对论性动力学方程的代数结构与Poisson积分  

Algebraic Structures and Poisson Integrals of Relativistic Dynamical Equations for Rotational Systems

作　　者：傅景礼 陈向炜 罗绍凯 

机构地区：[1]商丘师专,河南商丘476000

出　　处：《应用数学和力学》1999年第11期1175-1182,共8页Applied Mathematics and Mechanics

基　　金：国家自然科学基金;河南省自然科学基金

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ＰｏｉｓｓｏｎThe 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.

关 键 词：转动系统 相对论 分析力学 代数结构 动力学方程 

分 类 号：O316[理学—一般力学与力学基础]