应用诺特定律求解经典力学问题

Apply Noether's theorem to classical mechanics

诺特定律为物理学中一个非常重要的定律,其涉及的物理内涵和数学知识对本科大学生有一定的难度.本文将诺特定律应用于几个常见的经典牛顿力学问题求出各自系统的守恒量,深入浅出地演示了由诺特定律导出对称性与守恒量的关系.

The Noether＇s theorem is one of most important theorems in physics, in which physical ideas and mathematic expressions referred are difficultly somewhat. In this paper, the theorem was applied to several familiar classical mechanics system to educed conservation in each system, in this way the relationship of symmetries and conservations educed from the theorem were demonstrated simply.