摘要
研究发现寻求二次型哈密顿量H的简正坐标W可以归结于求解由两个相继的泊松括号运算组成的久期方程,从此方程解出W就能同时给出简正频率.通过几个二次型哈密顿量的例子说明了此方法的优点.
It was found that the problem of searching for normal coordinates W of quadratic Hamiltonian H can be ascribed to solving the newly established secular equation with two consecutive Poisson bracket operations.Solving W would simultaneously lead to the normal frequency.Some examples about quadratic Hamiltonian were presented to demonstrate the effectiveness of the presented method.
作者
林权
范洪义
LIN Quan;FAN Hongyi(College of Mechanic and Electronic Engineering,Wuyi University,Wuyishan 345300,China;Department of Material Science and Engineering,University of Science and Technology of China,Hefei 230026,China)
基金
Supported by the National Natural Science Foundation of China(11775208)
Education and Sci-Tech Projects for Young and Middle-aged Teachers in Fujian Province(JK2014053)
Educational Research Projects for Young and Middle-aged Teachers in Fujian Province(JAT170582)
关键词
二次型哈密顿函数
泊松括号运算
简正坐标
简正频率
quadratic Hamiltonian
Poisson bracket operations
normal coordinates
normal frequency
