带电粒子的Hamilton函数及广义动量守恒原理的应用

Application on the Hamilton Function of Chorrged Particles and the Law of Conservation of Generalized Momentum

本文从时变场的场方程出发,分别给出带电粒子的拉格朗日函数及哈密顿函数.依据哈密顿函数 H 不含有某个广坐标 q_时,广义动量 P_守恒,对带电粒子在螺绕环磁场中的漂移问题进行了讨论.可看到处理该问题时,能避免用近似法求解微分方程,而得到较为满意的结果.

In this paper,we start from field function of field time-variation meanwhile give the Lagrangion function of changed particles,and the Hamiltan function of charged particles individually.According to the Hamilton function H,without a certain generalized coordinate q_β,that is generalized momentum P_βis conservotive. Moreover,we have made an exhaustive study and deeply,discuss about the drift prob- lem of charzed,particles.In the toroid coil magnetil.field so that we can obtain a satisfac- tory result.Which usually use an approximate method to solve differential equation with complicated calculations.