Problematic solutions to the Landau-Lifshitz equation

Details Problematic solutions to the Landau-Lifshitz equation Problematic solutions to the Landau-Lifshitz equation

2002-04-19

arxiv.org/abs/physics/0204061v2

Physics

Classical Physics

7 pages, 1 figure

Scientific paper

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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