An exact solution of the space charge problem for the motion of a spherically symmetric beam in a homogeneous electric field

被引：0
|
作者：
E. E. Perepelkin
N. P. Repnikova
N. G. Inozemtseva
机构：
[1] Lomonosov Moscow State University,
[2] International University of Nature,undefined
[3] Society,undefined
[4] and Human “Dubna,undefined
[5] ”,undefined
来源：
Mathematical Notes | 2015年 / 98卷
关键词：
space charge problem; motion of a spherically symmetric beam (ball); homogeneous electric field; Newton’s second law; Cauchy problem; Gauss’s theorem;
D O I：
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学科分类号：
摘要：
We obtain an exact solution of the space charge problem for a uniformly charged ball moving in an exterior constant homogeneous electric field. The results obtained can be used as tests in the numerical simulation of the effect of a space charge of actual beams and for estimating the accuracy of the numerical methods used in the solution of the space charge problem.
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页码：448 / 453
页数：5
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