Solution of the problem of charge motion in crossed electric and magnetic fields


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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.

About the authors

B. M. Barbashov

Bogoliubov Laboratory of Theoretical Physics

Email: pestov@theor.jinr.ru
Russian Federation, Dubna, Moscow Oblast

A. B. Pestov

Bogoliubov Laboratory of Theoretical Physics

Author for correspondence.
Email: pestov@theor.jinr.ru
Russian Federation, Dubna, Moscow Oblast

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