Lagrange-Maxwell方程的Lie对称与守恒量

Lie Symmetries and Conserved Quantities of Lagrange─Maxwell Mechanical Systems

由微分方程在无限小变换下的不变性，引入Lagrange-Maxwell方程的无限小变换生成元，得到Lagrange－Maxwell方程的Lie对称的确定方程、结构方程和守恒量的形式，举例说明结果的应用。

The deffinition of the infinitesimal generator for the Lagrange-Maxwell mechanical systems is given. Using the invariance of the ordinary differential equations under the infinitesimal transformations, the determining equations of the Lie symmetries, the structure equation and the form of conserved quantities are obtained. An example to ill ustrate the application of the result is given.