Finite and divergent parts of the self-force of a point charge from its spherically averaged self-field

V. Hnizdo; G. Vaman

doi:10.1016/s0034-4877(21)00043-4

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arXiv · 2008.13233

Finite and divergent parts of the self-force of a point charge from its spherically averaged self-field

V. Hnizdo·G. Vaman

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Abstract

The electromagnetic self-force of a point charge moving arbitrarily on a rectilinear trajectory is calculated by averaging its retarded electric self-field over a sphere of infinitesimal radius centered on the charge's present position. The finite part of the self-force obtained is the well-established relativistic radiation reaction, while its divergent part implies the pre-relativistic longitudinal electromagnetic mass of Abraham.

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V. Hnizdo, G. Vaman. 2020-08-30. Finite and divergent parts of the self-force of a point charge from its spherically averaged self-field. https://doi.org/10.1016/s0034-4877(21)00043-4

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