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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 186, Number 3, Pages 508–514
DOI: https://doi.org/10.4213/tmf8881 (Mi tmf8881) 		 
Solution of the problem of charge motion in crossed electric and magnetic fields

B. M. Barbashov, A. B. Pestov

Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
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DOI: https://doi.org/10.4213/tmf8881
Abstract: Using the method of first integrals, we find an exact solution for the relativistic motion of a charge in orthogonal and uniform electric and magnetic fields with respect to laboratory time and for any value of the dimensionless governing parameter equal to the ratio of the magnetic field strength to the electric field strength.
Keywords: equation of motion of a charged particle in relativistic mechanics, method of first integrals, uniform magnetic field, uniform electric field.
Received: 27.02.2015
Revised: 21.10.2015
English version:
Theoretical and Mathematical Physics, 2016, Volume 186, Issue 3, Pages 440–446
DOI: https://doi.org/10.1134/S0040577916030119
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: B. M. Barbashov, A. B. Pestov, “Solution of the problem of charge motion in crossed electric and magnetic fields”, TMF, 186:3 (2016), 508–514; Theoret. and Math. Phys., 186:3 (2016), 440–446
Citation in format AMSBIB
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