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Problematic solutions to the Landau-Lifshitz equation

W. E. Baylis·J. Huschilt
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Abstract

A critical look at the Landau-Lifshitz equation, which has been recently advocated as an "exact" relativistic classical equation for the motion of a point charge with radiation reaction, demonstrates that it generally does not conserve energy-momentum. Its failure is dramatic in the one-dimensional case of a stepped electric field, where it predicts discontinuous velocity and thus infinite radiation. The Lorentz-Dirac equation, on the other hand, in spite of its preacceleration over distances comparable to the classical electron radius, does not display such problems.

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W. E. Baylis, J. Huschilt. 2002-04-19. Problematic solutions to the Landau-Lifshitz equation. https://arxiv.org/abs/physics/0204061

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