2012/11/23 by Guillermo García Alcaine, Guillermo Garcia Alcaine, Felipe J. Llanes-Estrada +3
Physics and Astronomy · #Accelerator Physics (physics.acc-ph) #Classical Physics (physics.class-ph) #Computational Physics (physics.comp-ph) #Experimental and Theoretical Physics Studies #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory #hep-ph #physics.acc-ph #physics.class-ph #physics.comp-ph
paper · pdf · doi:10.48550/arxiv.1211.5486
Added a detailed comparison with the known motion, including energy loss, of a charged particle in a constant and uniform magnetic field. Accepted for publication in Phys. Rev. E
openalex publication_date 2012/11/23 · arxiv created 2013/09/24 · arxiv updated 2013/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present and numerically solve a modified form of the equation of motion for a charged particle under the influence of an external force, taking into account the radiation reaction. This covariant equation is integrodifferential, as Dirac-Röhrlich's, but has several technical improvements. First, the equation has the form of the second Newton law, with acceleration isolated on the left hand side, and the force depending only on positions and velocities: thus, the equation is linear in the highest derivative. Second, the total four-force is by construction perpendicular to the four-velocity. And third, if the external force vanishes for all future times, the total force and the acceleration automatically vanish at present time. We show the advantages of this equation by solving it numerically for several examples of external force.