Exact solution of the Landau-Lifshitz equations for a radiating charged particle in the Coulomb potential (Q952571)
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| English | Exact solution of the Landau-Lifshitz equations for a radiating charged particle in the Coulomb potential |
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Exact solution of the Landau-Lifshitz equations for a radiating charged particle in the Coulomb potential (English)
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12 November 2008
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The classical nonrelativistic Landau-Lifshitz equations of motion for a charged particle moving under the influence of a Coulomb potential is solved in terms of the Painlevé transcendent of type II. It is shown that a negatively charged classical particle will spiral into a nucleus.
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Landau-Lifshitz equation
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Coulomb field
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Painlevé transcendent of type II
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