肖特能量-动量谬误
The fallacy of Schott energy-momentum
摘要：
拉莫尔辐射损失公式（以与电荷的加速度的平方成比例的速率）和辐射反应（加速电荷的动量损失率与其加速度变化率成正比）最近表明，由于没有适当区分用延迟时间计算的辐射损失和用“实时”。然而，这两个公式之间的差异的发生通常是调和在文献中提出的加速度依赖的肖特能量躺在附近的电磁场的加速电荷。但是，还没有人明确地证明肖特能量实际上在场中的位置。通过仔细检查电磁场的均匀加速充电，数学上容易处理的情况下，我们表明，相反的想法在文献中流行的，有没有任何证据表明，在电磁场中的任何加速度依赖的肖特能量动量，在附近的任何地方的收费或其他地方。相应地，我们揭露了电磁辐射公式中肖特能量-动量项的谬误，这一项今后应该被抛弃。
英文摘要：
The incompatibility between Larmor's formula for radiation losses (at a rate proportional to square of the acceleration of the electric charge) and the radiation reaction (the rate of loss of momentum of the accelerated charge proportional to its rate of change of acceleration) was recently shown to arise because a proper distinction is not kept between radiation losses calculated in terms of a retarded time and those expressed in terms of a "real time". However, the occurrence of this disparity between two formulations is usually reconciled in literature by proposing an acceleration-dependent Schott energy lying somewhere in the nearby electromagnetic fields of an accelerated charge. But nobody has yet unambiguously demonstrated where the Schott energy actually lies in the fields. By scrutinizing electromagnetic fields of a uniformly accelerated charge, a mathematically tractable case, we show that contrary to the ideas prevalent in the literature, there is no evidence of any acceleration-dependent Schott energy-momentum in the electromagnetic fields, anywhere in the near vicinity of the charge or elsewhere. Accordingly, we expose the fallacy of the Schott energy-momentum term, which should henceforth be abandoned, in the electromagnetic radiation formulation.
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