Tuesday, April 9, 2013

1304.2203 (Alejandro Cabo Montes de Oca et al.)

On radiation reaction and the Abraham-Lorentz-Dirac equation    [PDF]

Alejandro Cabo Montes de Oca, Jorge Castiñeiras
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.
View original: http://arxiv.org/abs/1304.2203

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