无辐射预加速:不存在预辐射现象
Preacceleration without radiation: the non-existence of preradiation phenomenon
摘要:
经典电动力学的一个意想不到的预测是,电荷可以在施加力之前加速。我们预期预加速电荷会辐射,因此会有自发的预辐射,这是一种因果现象。我们重新研究了点电荷辐射功率的拉莫尔公式和亚伯拉罕-洛伦兹方程之间的微妙关系,发现对于有限时间的良好外力作用,电荷在有预加速度的时间间隔内不辐射。也就是说,对于这些力,即使电荷被预加速,预辐射也不存在。辐射能量仅在外力作用于电荷的时间间隔内发射。
英文摘要:
An unexpected prediction of classical electrodynamics is that a charge can accelerate before a force is applied. We would expect that a preaccelerated charge would radiate so that there would be spontaneous preradiation, an acausal phenomenon. We reexamine the subtle relation between the Larmor formula for the power radiated by a point charge and the Abraham-Lorentz equation and find that for well-behaved external forces acting for finite times, the charge does not radiate in time intervals where there is preacceleration. That is, for these forces preradiation does not exist even though the charge is preaccelerated. The radiative energy is emitted only in time intervals when the external force acts on the charge.
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