dorsal/arxiv
View SchemaOn the Solutions of the Lorentz-Dirac Equation
| Authors | D. Vogt, P. S. Letelier |
|---|---|
| Categories | |
| ArXiv ID | physics/0307005 |
| URL | https://arxiv.org/abs/physics/0307005 |
| DOI | 10.1023/A:1027310025350 |
| Journal | Gen.Rel.Grav. 35 (2003) 2261-2269 |
Abstract
We discuss the unstable character of the solutions of the Lorentz-Dirac equation and stress the need of methods like order reduction to derive a physically acceptable equation of motion. The discussion is illustrated with the paradigmatic example of the non-relativistic harmonic oscillator with radiation reaction. We also illustrate removal of the noncasual pre-acceleration with the introduction of a small correction in the Lorentz-Dirac equation.
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"abstract": "We discuss the unstable character of the solutions of the Lorentz-Dirac\nequation and stress the need of methods like order reduction to derive a\nphysically acceptable equation of motion. The discussion is illustrated with\nthe paradigmatic example of the non-relativistic harmonic oscillator with\nradiation reaction. We also illustrate removal of the noncasual\npre-acceleration with the introduction of a small correction in the\nLorentz-Dirac equation.",
"arxiv_id": "physics/0307005",
"authors": [
"D. Vogt",
"P. S. Letelier"
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"doi": "10.1023/A:1027310025350",
"journal_ref": "Gen.Rel.Grav. 35 (2003) 2261-2269",
"title": "On the Solutions of the Lorentz-Dirac Equation",
"url": "https://arxiv.org/abs/physics/0307005"
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