标题： 回旋加速器运动中的脉冲诱导记忆效应？ 显示英文标题

标题： Pulse-induced memory-like effect in cyclotron motion?

摘要： 我们研究了带电粒子在均匀磁场中沿其标准圆周路径（回旋加速运动）移动时，如何对注入到与磁场垂直平面内的短持续时间、均匀的电场脉冲作出反应。 在脉冲关闭后的较晚时刻，发现初始圆周半径发生了“永久”变化，并且其圆心也发生了位移。 速度矢量（分量和大小）也发生了变化，类似于一个“速度冲击”。 这种“永久”变化背后的原因似乎与电脉冲持续时间内矢势的差异有关。 此外，我们展示了过去和未来中的这些矢势是如何通过规范变换相互关联的。 总之，我们的结果表明存在一种脉冲诱导的类似“电磁记忆效应”的现象，它并不是“波记忆”，但在一个简单的非相对论背景下，仍然具有相似的特征。 显示英文摘要

摘要： We study how a charged particle moving in a uniform magnetic field along its standard circular path (cyclotron motion) reacts to a short-duration, homogeneous, uniform electric field pulse injected in the plane perpendicular to the magnetic field. A `permanent' change in the radius of the initial circle and a shift of its centre is noted at later times, after the pulse is switched off. The velocity vector (components and magnitude) undergoes a change too, akin to a `velocity kick'. The cause behind this permanent change appears to be linked to the difference between the vector potentials before and after the duration of the electric pulse. Further, we show how such vector potentials in the past and future are related through a gauge transformation. In summary, our results suggest a pulse-induced `electromagnetic memory-like effect', which is not quite a `wave memory', but, nevertheless, has similar features within a simple, non-relativistic context.