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
arXiv:2303.01720 · doi:10.1007/978-3-031-45434-9_23
Abstract
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 , a reciprocal length. The present article concerns the small- regime. Radiation-reaction effects on the motion are shown to appear at order . 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.
13 pages, 1 improved figure; invited paper in remembrance of Detlef Duerr; referee's comments have been implemented in this mildly revised version; accepted for publication in a memorial collection