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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/12382
Motion of a classical charged particle
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The Lorentz-Dirac equation is not an unavoidable consequence of solely linear and angular momenta conservation for a point charge. It also requires an additional assumption concerning the elementary character of the charge. We here use a less restrictive elementarity assumption for a spinless charge and derive a system of conservation equations that are not properly the equation of motion because, as it contains an extra scalar variable, the future evolution of the charge is not determined. We show that a supplementary constitutive relation can be added so that the motion is determined and free from the troubles that are customary in the Lorentz-Dirac equation, i.e., preacceleration and runaways.
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AGUIRREGABIRIA, Juan M., LLOSA, Josep and MOLINA, Alfred. Motion of a classical charged particle. Physical Review D. 2006. Vol. 73, num. 12, pags. 125015-1-125015-13. ISSN 0556-2821. [consulted: 18 of June of 2026]. Available at: https://hdl.handle.net/2445/12382