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arXiv 1507.07477physics.class-ph
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点电荷附近电磁场的辐射反应

Radiation reaction from electromagnetic fields in the neighbourhood of a point charge

Ashok K. Singal

摘要:

从一个点电荷附近的电磁场的表达式中,我们确定了电磁动量流的速率,使用麦克斯韦应力张量计算,穿过电荷周围的表面。由此,我们推导出“点电荷”的辐射反应公式,该公式与电荷加速度的一阶时间导数成正比,与迄今为止文献中从详细的相互作用中获得的自作用力表达式相同。一个小带电球体的成分之间的相互作用。然后,我们使用相对论变换,得到一个广义的辐射反应的点电荷经历相对论运动的公式。

英文摘要:

From the expression for the electromagnetic field in the neighborhood of a point charge we determine the rate of electromagnetic momentum flow, calculated using the Maxwell stress tensor, across a surface surrounding the charge. From that we derive for a `point charge' the radiation reaction formula, which turns out to be proportional to the first time-derivative of the acceleration of the charge, identical to the expression for the self-force, hitherto obtained in the literature from the detailed mutual interaction between constituents of a small charged sphere. We then use relativistic transformations to arrive at a generalized formula for radiation reaction for a point charge undergoing a relativistic motion.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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