关于点电荷在电磁 Bopp-Landé-Thomas-Podolsky 真空中沿恒定外加电场运动的辐射反作用研究
A study of the radiation-reaction on a point charge that moves along a constant applied electric field in an electromagnetic Bopp-Landé-Thomas-Podolsky vacuum
AI总结：
本文在 BLTP 电动力学框架下研究点电荷在恒定电场中的辐射反作用，证明其效应在小参数 $\varkappa$ 的三阶出现，并揭示初始阶段符合测试粒子理论、后期显著偏离的运动规律。
摘要：
在 Bopp-Landé-Thomas-Podolsky（BLTP）电动力学中，一个经典点电荷被置于带电电容器两极板之间并从静止释放的相对论运动问题是适定的。该理论引入了一个新参数，即 Bopp 的 $\varkappa$，它是一个倒数长度。本文关注小 $\varkappa$ 区域。研究表明，辐射反作用对运动的影响出现在 $\varkappa^3$ 阶。结果发现，在初始阶段，运动可由测试粒子理论准确描述，惯性由粒子的裸质量决定。随后，辐射反作用效应导致运动显著偏离测试粒子运动。
英文摘要：
The relativistic problem of motion of a classical electrical point charge that has been placed between the plates of a charged capacitor and then released from rest is well-posed in Bopp-Landé-Thomas-Podolsky (BLTP) electrodynamics. That theory introduces a single new parameter, Bopp's $\varkappa$, a reciprocal length. The present article concerns the small-$\varkappa$ regime. Radiation-reaction effects on the motion are shown to appear at order $\varkappa^3$. It is found that in the initial phase the motion is accurately accounted for by test particle theory, with the inertia determined by the bare mass of the particle. Subsequently, radiation-reaction effects cause substantial deviations from the test particle motion.
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