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arXiv · 0801.0238

Exact Solution of the Landau-Lifshitz Equations for a Radiating Charged Particle in The Coulomb Potential

S. G. Rajeev
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Abstract

We solve exactly the classical non-relativistic Landau-Lifshitz equations of motion for a charged particle moving in a Coulomb potential, including radiation damping. The general solution involves the Painleve transcendent of type II. It confirms our physical intuition that a negatively charged classical particle will spiral into the nucleus, supporting the the validity of the Landau-Lifshitz equation.

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S. G. Rajeev. 2008-01-10. Exact Solution of the Landau-Lifshitz Equations for a Radiating Charged Particle in The Coulomb Potential. https://doi.org/10.1016/j.aop.2008.01.010

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