研究完整系统Appell方程Mei对称性的共形不变性与守恒量.引入无限小单参数变换群及其生成元向量,定义完整系统动力学方程的Mei对称性和共形不变性,给出该系统Mei对称性共形不变性的确定方程.利用规范函数满足的结构方程导出系统相应的Mei守恒量.举例说明结果的应用.
For a holonomic system, the conformal invariance and conserved quantity of Mei symmetry for Appell equations are studied. Firstly, by the infinitesimal one-parameter transformation group and the infinitesimal generator vector, we define Mei symmetry and conformal invariance of differential equations of motion for holonomic system, and the determining equation of Mei symmetry and conformal invariance for holonomic system are given. Then, taking advantage of a structure equation that gauge function satisfies, the system corresponding Mei conserved quantity is derived. Finally, an example is given to illustrate the application of the result.