Exact solution of the Landau–Lifshitz equations for a radiating charged particle in the Coulomb potential
نویسنده
چکیده
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. 2008 Elsevier Inc. All rights reserved. PACS: 41.60.-m; 41.60.Ap
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