从哈密顿正则方程出发,推导出了带电粒子在相互垂直的电场和磁场中的运动方程,根据运动方程讨论了带电粒子的运动轨迹形成闭合轨道所满足的条件.计算结果表明:随着带电粒子能量的不断增大,带电粒子运动轨迹中闭合轨道的条数不断增多.当能量增加到某一边界能量时,一条新的闭合轨道出现;当能量大于此边界能量时,这条新的闭合轨道发生分叉,由一条分为两条.
Based on the Hamiltonian motion equations,the movement equations of the electron in the perpendicular electric and magnetic field are deduced and then the initial conditions of the closed orbits of the electron s trajectory according to the movement equations discussed.The results suggest that with the increase of the electron s energy,the number of the closed orbits is increased.As the energy is increased to a boundary energy,a new closed orbit appears;when the energy is greater than this boundary energy,t...