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从单粒子的相对论性运动方程出发,首先解出运动常数,然后用这些运动常数构成符合Vlasov方程的束粒子分布函数,再由该分布函数算出轴对称电场和磁场中相对论性带电粒子束的束温度和能量展宽,并且对弱相对论性情况和强相对论性情况作了讨论。Starting from the relativistic motion equation of a single particle,the motion constants were obtained. And then by using these motion constants a distribution function of the beam particles was constructed which satisfies the Vlasov equation. The beam temperatures and the energy broadening of a relativistic charged-particle beam in axially symmetric electric- and magnetic-fields have been calculated by using the distribution function,and the weakly and strongly relativistic approximations have also been discussed respectively.
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