A study of the radiation-reaction on a point charge that moves along a constant applied electric field in an electromagnetic Bopp-Land\'e-Thomas-Podolsky vacuum
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-Land\'e-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 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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