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2020•arXiv (Cornell University)Open access

Radiation reaction: charge distributions or point charges?

T. Matolcsi, P. Ván

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Abstract

A point charge is frequently approximated by charge distributions deriving the Lorentz-Abraham-Dirac (LAD) equation. Here it is shown that the field of a uniformly charged rigid spherical shell cannot be substituted by the field of a central effective point charge. The related calculations are short and transparent due to a reference frame free representation of spacetime and the mathematical theory of generalised functions.

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What this paper is about

A point charge is frequently approximated by charge distributions deriving the Lorentz-Abraham-Dirac (LAD) equation. Here it is shown that the field of a uniformly charged rigid spherical shell cannot be substituted by the field of a central effective point charge. The related calculations are short and transparent due to a reference frame free representation of spacetime and the mathematical theory of generalised functions.

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Available abstract

A point charge is frequently approximated by charge distributions deriving the Lorentz-Abraham-Dirac (LAD) equation. Here it is shown that the field of a uniformly charged rigid spherical shell cannot be substituted by the field of a central effective point charge. The related calculations are short and transparent due to a reference frame free representation of spacetime and the mathematical theory of generalised functions.

Key concepts: Point particle, Charge (physics), Lorentz transformation, Physics, Point (geometry), Representation (politics), Spacetime, Classical mechanics

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