The Motion of a Charge Particle in a Uniform Magnetic Field
Date
1980-06
Authors
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Journal ISSN
Volume Title
Publisher
Il Nuovo Cimento
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.
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Citation
Copyright 1980 Il Nuovo Cimento. Recommended citation: Prosperetti, A. "The motion of a charged particle in a uniform magnetic field." Il Nuovo Cimento B (1971-1996) 57, no. 2 (1980): 253-268. DOI: 10.1007/BF02729034 URL: https://link.springer.com/article/10.1007/BF02729034 Reproduced in accordance with the original publisher’s licensing terms and with permission from the author(s).