A charged particle must be treated relativistically in classical theory

A charged particle which is allowed to accelerate must have relativistic behavior because it is coupled to electromagnetic radiation which propagates at the speed of light. We treat the simple steady-state situation of a charged particle moving in a circular orbit with counter-propagating plane wave...

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Bibliographic Details
Published in:European journal of physics 2023-09, Vol.44 (5), p.55202
Main Author: Boyer, Timothy H
Format: Article
Language:English
Subjects:
charged particles
classical electrodynamics
Coulomb potential
relativity
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Summary:A charged particle which is allowed to accelerate must have relativistic behavior because it is coupled to electromagnetic radiation which propagates at the speed of light. We treat the simple steady-state situation of a charged particle moving in a circular orbit with counter-propagating plane waves providing the power which balances the energy radiated away by the accelerating charge. It is emphasized that only an electromagnetic arrangement, such as a Coulomb potential or a constant magnetic field, can provide the relativistic central force for the particle motion.
ISSN:0143-0807
1361-6404
DOI:10.1088/1361-6404/ace1b8