Journal
LETTERS IN MATHEMATICAL PHYSICS
Volume 83, Issue 3, Pages 305-313Publisher
SPRINGER
DOI: 10.1007/s11005-008-0228-9
Keywords
classical dynamics of charged particles including the radiation reaction; exact solution of the equations of motion of a relativistic electric charge
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The Landau-Lifshitz (The Classical Theory of Fields. Elsevier, Oxford 1975) form of the Lorentz-Abraham-Dirac equation in the presence of a plane wave of arbitrary shape and polarization is solved exactly and in closed form. The explicit solution is presented in the particular, paradigmatic cases of a constant crossed field and of a monochromatic wave with circular and with linear polarization.
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