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arxiv: 1304.2203 · v1 · pith:536ZYOMXnew · submitted 2013-04-08 · 🌀 gr-qc · physics.acc-ph

On radiation reaction and the Abraham-Lorentz-Dirac equation

classification 🌀 gr-qc physics.acc-ph
keywords forceequationabraham-lorentz-diracexternalfieldlorentzparticleacceleration
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It is underlined that the Lienard-Wiechert solutions indicate that after the external force is instantly removed from a small charged particle, the field in its close neighborhood becomes a Lorentz boosted Coulomb field. It suggests that the force of the self-field on the particle should instantaneously vanish after a sudden removal of the external force. A minimal modification of Abraham-Lorentz-Dirac equation is searched seeking to implement this property. A term assuring this behavior is added to the equation by maintaining Lorentz covariance and vanishing scalar product with the four-velocity. The simple Dirac constant force example does not show runaway acceleration.

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