Birkhoff系统Noether对称性导致的Hojman守恒量

Hojman conserved quantity obtained by Noether symmtry for Birkhoff system

提出由Birkhoff系统Noether对称性导出非Noether守恒量的方法.首先,证明系统Noether对称性必然是Lie对称性;其次,将Hojman定理应用于Noether对称性;最后,举例说明结果的应用.

A non-Noether conserved quantity constructed by using the Noether symmetry of a Birkhoff system is proposed. First,the fact that the Noether symmetry of the system is sure to be a Lie symmetry is proved.Second,the Hojman theory is generalized to the case in which the symmetry is a Noether one.An example is finally given to illustrate the application of the result.