Classical formulations of the electromagnetic self-force of extended charged bodies

TL;DR

This paper compares various classical, noncovariant formulations of the electromagnetic self-force for extended charged bodies, demonstrating their mathematical equivalence and discussing their relevance in classical charged particle models.

Contribution

It explicitly derives the equivalence of different self-force expressions and discusses their applicability in classical models of charged particles.

Findings

Mathematical equivalence of different self-force formulations

Explicit derivations connecting various expressions

Discussion on the significance in classical models

Abstract

Several noncovariant formulations of the electromagnetic self-force of extended charged bodies, as have been developed in the context of classical models of charged particles, are compared. The mathematical equivalence of the various dissimilar self-force expressions is demonstrated explicitly by deriving these expressions directly from one another. The applicability of the self-force formulations and their significance in the wider context of classical charged particle models are discussed.