Solution of the~problem of charge motion in crossed electric and magnetic fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 186 (2016) no. 3, pp. 508-514
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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.
@article{TMF_2016_186_3_a10,
author = {B. M. Barbashov and A. B. Pestov},
title = {Solution of the~problem of charge motion in crossed electric and magnetic fields},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {508--514},
publisher = {mathdoc},
volume = {186},
number = {3},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2016_186_3_a10/}
}
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%0 Journal Article %A B. M. Barbashov %A A. B. Pestov %T Solution of the~problem of charge motion in crossed electric and magnetic fields %J Teoretičeskaâ i matematičeskaâ fizika %D 2016 %P 508-514 %V 186 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2016_186_3_a10/ %G ru %F TMF_2016_186_3_a10
B. M. Barbashov; A. B. Pestov. Solution of the~problem of charge motion in crossed electric and magnetic fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 186 (2016) no. 3, pp. 508-514. http://geodesic.mathdoc.fr/item/TMF_2016_186_3_a10/