摘要
研究机电系统Mei对称性的共性不变性与守恒量.由系统的Lagrange-Maxwell方程,给出系统Mei对称性的共性不变性,导出系统Mei对称性的共性不变性的相关条件,得到系统的确定方程,讨论共形不变性与Noether对称性,Lie对称性以及Mei对称性之间的关系及相应的守恒量.举例说明结果的应用.
The conformal invariance and conserved quantities of Mei symmetry for Mechanico-Eleetrical systems were studied. On the basis of Lagrange-Maxwell equation of this system, conformal invariance of Mei symmetry was obtained and conditions that the conformal invariance should satisfy were deduced. And their determining equations were then given. The relationship between conformal invariance and Noether symmetry, Lie symmetry, and Mei symmetry were discussed, and the corresponding conserved quantities were obtained. Finally, an example was given to illustrate the application of the result.
出处
《贵州大学学报（自然科学版）》
2009年第6期32-35,38,共5页
Journal of Guizhou University:Natural Sciences
关键词
机电系统
MEI对称性
共形不变性
守恒量
Mechanico-Electrical systems
Mei symmetry, conformal invariance
conserved quantity
