线性三原子分子振动的Lagrange函数和Hamilton函数

Lagrangians and Hamiltonians of vibrations of a linear triatomic molecule

本文以线性耦合振子为模型,导出了三种不同坐标变量表示下线性对称三原子分子的振动微分方程,利用分析力学逆问题理论和方法,构造出了五种对应的Lagrange函数和Hamilton函数,其中有些是新的结果.

In this paper, based on the model of linear coupled oscillators, the oscillatory differential equations are deduced in three different coordinate representations for linear symmetrical triatomic molecule. Using theory and method of the inverse problem of analytical mechanics, we have established five Lagrangians and Hamiltonians, some of which are first reported.