求二次型哈密顿量简正坐标的泊松括号方法（英文）  

Poisson bracket method for obtaining normal coordinates of quadratic Hamiltonian

作　　者：林权 范洪义[2] 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)

机构地区：[1]武夷学院机电工程学院,福建武夷山354300 [2]中国科学技术大学材料科学与工程系,安徽合肥230026

出　　处：《中国科学技术大学学报》2018年第8期643-648,共6页JUSTC

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)

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.

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 

分 类 号：O413.1[理学—理论物理]