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Elsevier Masson, Annals of Physics, 11(323), p. 2654-2661

DOI: 10.1016/j.aop.2008.01.010

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

Journal article published in 2008 by S. G. Rajeev
This paper is available in a repository.
This paper is available in a repository.

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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 Painlevè transcendent of type II. It confirms our physical intuition that a negatively charged classical particle will spiral into the nucleus, supporting the validity of the Landau–Lifshitz equation.