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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
【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 ,并举例说明结果的应用
【Abstract】 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;
【Key words】 relativity; mechanical system; form invariance; Noether symmetry;
【Key words】 relativity; mechanical system; form invariance; Noether symmetry;
- 【文献出处】 物理学报 ,Acta Physica Sinica , 编辑部邮箱 ,2003年07期
- 【分类号】O316
- 【被引频次】25
- 【下载频次】91