相对论力学系统的形式不变性与Noether对称性  

Form invariance and Noether symmetry of a relativistic mechanical system

作　　者：方建会[1] 闫向宏[1] 陈培胜[1] 

机构地区：[1]石油大学应用物理系,东营257061

出　　处：《物理学报》2003年第7期1561-1564,共4页Acta Physica Sinica

摘　　要：研究相对论力学系统的形式不变性与Noether对称性 ,给出相对论力学系统的Noether定理 ,以及形式不变性的定义、判据和守恒量 ,得到形式不变性和Noether对称性的关系 。In this paper,we study the form invariance and Noether symmetry of a relativistic mechanical system. Firstly, we give the Noether theorem of a relativistic mechanical system, and the definition and criterion and conserved quantity of the form invariance in the system. Next, the relation between the form invariance and Noether symmetry of the system is obtained. Finally, we give an example to illustrate the application of the result.

关 键 词：相对论 力学系统 形式不变性 NOETHER对称性 

分 类 号：O316[理学—一般力学与力学基础]