经典物理学中的时空对称性和守恒量

Space-time symmetries and conserved quantity in classical physics

对经典力学中的矢量力学形式、分析力学中的微分形式和积分形式的时空对称性进行了分析,探讨了空间均匀性、空间各向同性和时间均匀性所对应的动量守恒、角动量守恒和能量守恒三个守恒量的物理规律,从而全面阐述了经典物理学中的时空对称性与守恒量的关系.

In this paper, time and space symmetries of the mechanical vector form of the classical mechanics, differential form and integral form of the analysis mechanicics are analyzed. We also make an inquiry into physical law of the three conserved quantities, namely, conservation of momentum, conservation of angular momentum and energy conservation corresponding respectly to space uniformity, isotropic spatial uniformity and time uniformity. Thus the relations between the space-time symmetries and conserved quantities in classical physics are comprehensively expounded.