Abstract
In this paper the analysis of the classical dynamics of a charged particle is carried out without considering that the electromagnetic field necessarily goes to zero at infinity. A quite general non-linear equation of motion is obtained for an extended charged particle valid for any distribution of charge in the particle and for an electromagnetic field satisfying any boundary conditions. Some common approximations are analyzed with detail to determine how the usual difficulties arise.
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Roa-Neri, J.A.E., Jiménez, J.L. An Alternative Approach to the Classical Dynamics of an Extended Charged Particle. Foundations of Physics 32, 1617–1634 (2002). https://doi.org/10.1023/A:1020483403856
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DOI: https://doi.org/10.1023/A:1020483403856