非完整系统的共形不变性导致的新型守恒量  

A new type of conserved quantity deduced from conformal invariance in nonholonomic mechanical system

作　　者：王廷志[1] 孙现亭[2] 韩月林[1] 

机构地区：[1]江南大学理学院,无锡214122 [2]平顶山学院电气信息工程学院,平顶山467002

出　　处：《物理学报》2014年第9期1-6,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:11142014)资助的课题~~

摘　　要：研究了非完整系统的共形不变性与新型守恒量.提出了该系统共形不变性的概念;得出了非完整系统的运动微分方程具有共形不变性并且是Lie对称性的充要条件.利用规范函数满足的新型结构方程,导出系统相应的新型守恒量.最后给出应用算例.Conformal invariance and a new type of conserved quantity in nonholonomic mechanical system are studied. The definition and determining equation of conformal invariance for the nonholonomic mechanical system are provided;and the necessary and sufficient conditions that the conformal invariance for a nonholonomic mechanical system should be of Lie symmetry are deduced. With the aid of a new structure equation that the gauge function satisfies, the system’s corresponding new conserved quantity is obtained. Finally an example is given to illustrate the application of the results.

关 键 词：非完整系统Lie对称性 共形不变性 新型守恒量 

分 类 号：O316[理学—一般力学与力学基础] O174.55[理学—力学]