标题： 经典洛伦兹公式通过均匀加速电子的厄弗效应 显示英文标题

标题： Classical Larmor formula through the Unruh effect for uniformly accelerated electrons

摘要： 我们通过计算均匀加速带电粒子发出的功率及其在共加速参考系中的角度分布，研究经典Larmor公式与量子Unruh效应之间的联系。 我们考虑一个仅在有限时间内被加速且带有非零电荷的粒子，然后在去除初始充电和最终放电过程的影响后取无限时间极限。 我们证明所得到的相互作用率结果与之前的研究一致，其中从一开始就假设加速期间电荷非零的时间是无限的。 我们还证明，归因于共加速参考系中Rindler光子的发射或吸收的辐射功率和角度分布由Larmor公式给出，这证实了在树级近似下，为了在共加速参考系中重现经典的Larmor辐射公式，必须考虑Unruh效应。 显示英文摘要

摘要： We investigate the connection between the classical Larmor formula and the quantum Unruh effect by computing the emitted power by a uniformly accelerated charged particle and its angular distribution in the coaccelerated frame. We consider a classical particle accelerated with nonzero charge only for a finite period and then take the infinite-time limit after removing the effects due to the initial charging and final discharging processes. We show that the result found for the interaction rates agrees with previous studies in which the period of acceleration with nonzero charge was taken to be infinite from the beginning. We also show that the power and angular distribution of emission, which is attributed either to the emission or absorption of a Rindler photon in the coaccelerated frame, is given by the Larmor formula, confirming that, at tree level, it is necessary to take into account the Unruh effect in order to reproduce the classical Larmor radiation formula in the coaccelerated frame.