A second order differential equation for a point charged particle

Abstract

A model for the dynamics of a classical point charged particle interacting with higher order jet fields is introduced. In this model, the dynamics of the charged particle is described by an implicit ordinary second order differential equation. Such equation is free of run-away and pre-accelerated solutions of Dirac's type. The theory is Lorentz invariant, compatible with the first law of Newton and Larmor's power radiation formula. Few implications of the new equation in the phenomenology of non-neutral plasmas is considered.

Several arguments simplified; accepted version to appear in International Journal of Geometric Methods in Modern Physics

References in corpus (3)

• A Rigorous Derivation of Electromagnetic Self-force
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• Geometry of generalized higher order fields and applications to classical linear electrodynamics

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