双荷子系统运动的经典解  

Classical Solutions of Motion for Dyon Systems

作　　者：许雪艳[1] 陈海波[1] 张宏彬[1] 丁光涛[2] XU Xue-yan CHEN Hai-bo ZHANG Hong-bin DING Guang-tao(The Interdisciplinary Center for Study on Maths, Physics and Engineering, Chaohu University, Hefei 238000, P.R. China College of Physics and Electronic Information, Anhui Normal University, Wuhu , Anhui 241000, P.R. China)

机构地区：[1]巢湖学院数理工程研究中心,合肥238000 [2]安徽师范大学物理与电子信息学院,安徽芜湖241000

出　　处：《应用数学和力学》2017年第9期1061-1071,共11页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(11472063);高校优秀青年人才支持计划重点项目(gxyqZD2016286)~~

摘　　要：根据力学理论和经典电磁理论研究双荷子系统的运动.列出双荷子系统的运动微分方程,导出运动积分,说明系统的对称性,包括SO(4)对称性;利用变分法逆问题方法,构造双荷子系统的Lagrange(拉格朗日)函数和Hamilton(哈密顿)函数;解出双荷子系统的运动规律.According to the mechanics theories and the classical electromagnetism,the motion of 2-dyon systems was studied. Some integrals of motion,including the energy integral,the total angular momentum integral and the Runge-Lenz-like integral,were derived from the differential equations of motion for the system,then the SO（4） symmetry of the system was exposed. With the inverse problem method of variational calculus,the Lagrangian function and the Hamiltonian function for the 2-dyon system were constructed. The classical motion of the system is completely integrable,the equations of the orbit and the relation between radial distance r and time t are solvable.

关 键 词：双荷子 LAGRANGE函数 HAMILTON函数 运动积分 经典电磁理论 

分 类 号：O302[理学—力学] O441