应用数学和力学2017，Vol.38Issue(9)：1061-1071,11.DOI:10.21656/1000-0887.380046
双荷子系统运动的经典解
Classical Solutions of Motion for Dyon Systems
摘要
Abstract
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Key words
dyon/Lagrangian function/Hamiltonian function/integral of motion/classical electromagnetism分类
数理科学引用本文复制引用
许雪艳,陈海波,张宏彬,丁光涛..双荷子系统运动的经典解[J].应用数学和力学,2017,38(9):1061-1071,11.基金项目
国家自然科学基金(11472063) （11472063）
高校优秀青年人才支持计划重点项目(gxyqZD2016286)The National Natural Science Foundation of China(11472063) （gxyqZD2016286）
