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

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dc.creatorRajeev, S. G.
dc.date2007-12-31
dc.date2008-01-10
dc.date.accessioned2026-07-07T11:54:55Z
dc.date.available2026-07-07T11:54:55Z
dc.descriptionWe 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.
dc.description2 figures; Figure added, also minor comments and corrections
dc.identifierhttps://arxiv.org/abs/0801.0238
dc.identifierhttp://arxiv.org/abs/0801.0238
dc.identifierAnnalsPhys.323:2654-2661,2008
dc.identifierdoi:10.1016/j.aop.2008.01.010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205082
dc.subjectHigh Energy Physics - Theory
dc.subjectAstrophysics
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subjectExactly Solvable and Integrable Systems
dc.subjectPlasma Physics
dc.titleExact Solution of the Landau-Lifshitz Equations for a Radiating Charged Particle in The Coulomb Potential
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