一对带电粒子的运动
The Motion of a Pair of Charged Particles
摘要：
我们重新访问的问题，两个（相反）带电粒子的电磁相互作用在一个维度与延迟的潜力和没有辐射反应。感兴趣的具体定量结果是颗粒相互落入所需的时间。从非相对论形式开始，我们回答这个问题，同时增加复杂性，直到我们到达控制这个问题的完整的相对论延迟微分方程。这种情况下，可以解决使用辛格方法，我们描述和讨论。
英文摘要：
We re-visit the problem of two (oppositely) charged particles interacting electromagnetically in one dimension with retarded potentials and no radiation reaction. The specific quantitative result of interest is the time it takes for the particles to fall in towards one another. Starting with the non-relativistic form, we answer this question while adding layers of complexity until we arrive at the full relativistic delay differential equation that governs this problem. That case can be solved using the Synge method, which we describe and discuss.
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。
