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

Yurij Yaremko

doi:10.1063/1.4820131

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arXiv · 1412.1661

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

Yurij Yaremko

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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.

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Yurij Yaremko. 2014-12-04. Exact solution to the Landau-Lifshitz equation in a constant electromagnetic field. https://doi.org/10.1063/1.4820131

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