摘要
保角的不变性和一般 holonomic 系统的保存数量被学习。一个一个参数无穷小的转变组和它发电机的无穷小的转变向量被描述。为系统的保角的不变性和决定方程的定义被提供。保角的因素表示从保角的不变性和谎言对称被推出。必要、足够的条件,系统的那保角的不变性将是谎言对称,在无穷小的一个参数转变组下面被获得。相应保存数量在一个结构方程的帮助下被导出。最后,一个例子被给演示结果的应用程序。
Conformed invariance and conserved quantities of general holonomic systems are studied. A one-parameter infinitesimal transformation group and its infinitesimal transformation vector of generators are described. The definition of conformal invariance and determining equation for the system are provided. The conformal factor expression is deduced from conformal invariance and Lie symmetry. The necessary and suttlcient condition, that conformal invariance of the system would be Lie symmetry, is obtained under the infinitesimal one-parameter transformation group. The corresponding conserved quantity is derived with the aid of a structure equation. Lastly, an example is given to demonstrate the application of the result.