dorsal/arxiv
View SchemaProblematic solutions to the Landau-Lifshitz equation
| Authors | W. E. Baylis, J. Huschilt |
|---|---|
| Categories | |
| ArXiv ID | physics/0204061 |
| URL | https://arxiv.org/abs/physics/0204061 |
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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"abstract": "A critical look at the Landau-Lifshitz equation, which has been recently\nadvocated as an \"exact\" relativistic classical equation for the motion of a\npoint charge with radiation reaction, demonstrates that it generally does not\nconserve energy-momentum. Its failure is dramatic in the one-dimensional case\nof a stepped electric field, where it predicts discontinuous velocity and thus\ninfinite radiation. The Lorentz-Dirac equation, on the other hand, in spite of\nits preacceleration over distances comparable to the classical electron radius,\ndoes not display such problems.",
"arxiv_id": "physics/0204061",
"authors": [
"W. E. Baylis",
"J. Huschilt"
],
"categories": [
"physics.class-ph"
],
"title": "Problematic solutions to the Landau-Lifshitz equation",
"url": "https://arxiv.org/abs/physics/0204061"
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