经典力学中的Noether定理及其应用

THE NOETHER'S THEOREM IN THE CLASSICAL MECHANICS AND IT'S APPLICATIONS

应用初等微分法，导出经典力学中的Ｎｏｅｔｈｅｒ定理公式．该定理除可用以求出常见的动量守恒与能量守恒等定律以外，尚可讨论含时系统的对称性与守恒定律．

The Noether's theorem is deduced by the elementary differential method. It can be used to deal with the conservation laws of momentum and energy, but also to discuss the conservation laws of the system whose Lagrangian is time-dependent explicitily.