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The Motion of a Charge Particle in a Uniform Magnetic Field

By Andrea Prosperetti

Abstract

We study the motion of a classical (nonquantal) charged particle in a uniform magnetic field by means of i) the Abraham-Lorentz equation, ii) the Dirac relativistic equation and iii) the Caldirola nonrelativistic, finite-difference equation. In cases i) and iii) closed-form solutions are obtained. For case ii) we apply for the first time the twovariable asymptotic method which enables us to obtain a uniformly valid approximate solution free of the secular terms present in the results of previous authors

Topics: N/A
Publisher: 'Springer Science and Business Media LLC'
Year: 1980
DOI identifier: 10.1007/BF02729034
OAI identifier: oai:uh-ir.tdl.org:10657/6048

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