Exact solution to the Landau-Lifshitz equation in a constant electromagnetic field

Abstract

We are interested in the motion of a classical charge acted upon an external constant electromagnetic field where the back reaction of the particle's own field is taken into account. The Landau-Lifshitz approximation to the Lorentz-Abraham-Dirac equation is solved exactly and in closed form. It is shown that the ultrarelativistic limit of the Landau-Lifshitz equation for a radiating charge is the equation for eigenvalues and eigenvectors of the external electromagnetic field tensor.

References in corpus (4)

• A Rigorous Derivation of Electromagnetic Self-force
• Effects of Radiation-Reaction in Relativistic Laser Acceleration
• Exact Solution of the Landau-Lifshitz Equations for a Radiating Charged Particle in The Coulomb Potential
• Radiation Reaction in Classical Field Theory

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