原子与分子物理学报2012,Vol.29Issue(1):7-11,5.DOI:10.3969/j.issn.1000-0364.2012.01.002
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
摘要
Abstract
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 La-grangians and Hamiltonians, some of which are first reported.关键词
线性三原子分子/振动微分方程/Lagrange函数/Hamilton函数Key words
linear triatomic molecules/ oscillatory differential equations/ Lagrangians/ Hamiltonians分类
数理科学引用本文复制引用
甘慧兰,丁光涛,郑贤锋,崔执凤..线性三原子分子振动的Lagrange函数和Hamilton函数[J].原子与分子物理学报,2012,29(1):7-11,5.基金项目
国家自然科学基金(20973001,11074003) (20973001,11074003)