Exact solution of the Herrera equation of motion in classical electrodynamics

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Abstract

The Landau-Lifshitz equation is derived as a first-order iteration of the Lorentz-Dirac equation for the charged particle. In those cases with null electromagnetic field's gradient, the Landau-Lifshitz gives the so named Herrera equation. A general method for the solution of the latter equation is presented and applied to the motion of a particle in a uniform electromagnetic field.

Original languageEnglish
Pages (from-to)4807-4812
Number of pages6
JournalJournal of Mathematical Physics
Volume40
Issue number10
DOIs
StatePublished - Oct 1999

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