Exact solution of the Landau-Lifshitz equations for a radiating charged particle in the Coulomb potential

Journal Article · Sat Nov 15 00:00:00 EST 2008 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2008.01.010· OSTI ID:21163673

Rajeev, S.G. ^[1]

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1. Department of Physics and Astronomy, University of Rochester, Rochester, NY14627 (United States), E-mail: [e-mail]

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 validity of the Landau-Lifshitz equation.

• OSTI ID: 21163673
• Journal Information: Annals of Physics (New York), Vol. 323, Issue 11; Other Information: DOI: 10.1016/j.aop.2008.01.010; PII: S0003-4916(08)00012-2; Copyright (c) 2008 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHARGED PARTICLES
COULOMB FIELD
DIRAC EQUATION
EQUATIONS OF MOTION
EXACT SOLUTIONS
RELATIVISTIC RANGE