相对论性转动变质量非完整系统的Lie对称性与守恒量  

LIE SYMMETRIES AND QUANTITIES OF CONSERVATION FOR A NONHOLONOMIC SYSTEM WITH A RELATIVISTICALLY ROTATIONAL VARIABLE MASS

作　　者：方建会[1] 赵嵩卿[1] 马丽 

机构地区：[1]石油大学应用物理系,山东东营257061 [2]临朐县营子教委,山东临朐262619

出　　处：《石油大学学报（自然科学版）》2002年第5期116-118,122,共4页Journal of the University of Petroleum,China(Edition of Natural Science)

基　　金：石油大学科研基金资助课题

摘　　要：研究了相对论性转动变质量非完整系统的Lie对称性和守恒量。给出了相对论性转动变质量非完整系统的运动微分方程。利用其在无限小变换下的不变性 ,建立了相对论性转动变质量非完整系统的Lie对称的确定方程和限制方程 ,得到了结构方程和守恒量。并给出了应用实例。The differential equations for the motion of a nonholonomic system with a relativistically rotational variable mass were presented. By using the invariance of the differential equations in the case of infinitesimal transformation, the equations for determining and restricting the Lie symmetries of the nonholonomic system with a relativistically rotational variable mass were proposed. The structural equation and the conservation quantities of the Lie symmetries were obtained. An example is given to illustrate the application result of these equations.

关 键 词：相对论 转动变质量 非完整系统 LIE对称性 守恒量 

分 类 号：O31[理学—一般力学与力学基础]