Exact Solution of the Landau-Lifshitz Equations for a Radiating Charged Particle in The Coulomb Potential
arXiv:0801.0238 · doi:10.1016/j.aop.2008.01.010
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.
arXiv comment2 figures; Figure added, also minor comments and corrections
References in corpus (1)
Cited by in corpus (8)
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