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

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

DOI: 10.4213/tmf8881

 English version: Theoretical and Mathematical Physics, 2016, 186:3, 440–446

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