带电粒子与静电波相互作用单粒子方程的严格解

研究了带电粒子与静电波之间的相互作用, 给出了带电粒子运动方程的严格解, 得出了粒子的速度的解析表达式, 同时推导出了带电粒子被静电波俘获的数学条件, 讨论了粒子与波能量交换的物理过程, 对现有等离子体物理的教材中相关的问题是一个补充. 本文结果对带电粒子加速器、微波管以及基础等离子体问题的研究有一定参考意义.

Exact Solution to the Equation of Motion of a Charged Particle Driven by an Electrostatic Wave

An exact solution is derived for the equation of motion of a charged particle driven by an electrostatic wave.The explicit expression of particle velocity is obtained,and the trapping condition of the charged particle in the electrostatic wave is also derived exactly.The interaction between the charged particle and the electrostatic wave is discussed,which is a supplement to the existing textbook of plasma physics.The results are of interest to particle accelerators,microwave tubes,and basic plasma processes.