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

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

2007-12-31

arxiv.org/abs/0801.0238v2

AnnalsPhys.323:2654-2661,2008

Physics

High Energy Physics

High Energy Physics - Theory

2 figures; Figure added, also minor comments and corrections

Scientific paper

10.1016/j.aop.2008.01.010

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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