Classical Electrodynamics of a Particle with Maximal Acceleration Corrections

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We calculate the first order maximal acceleration corrections to the classical electrodynamics of a particle in external electromagnetic fields. These include additional dissipation terms, the presence of a critical electric field, a correction to the cyclotron frequency of an electron in a constant magnetic field and the power radiated by the particle. The electric effects are sizeble at the fields that are considered attainable with ultrashort $TW$ laser pulses on plasmas.
LaTex, 10 pages, no figures, accepted for publication in Il Nuovo Cimento B

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