Geodesic
Invariant solution of the Dirac equation in the crossed electric and magnetic fields $(H > E)$
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 53 (2019) no. 2, pp. 138-141

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In the article exact analytical and invariant solutions for both spinless and half-spin relativistic charged particles in crossed constant electric and magnetic fields, when $H > E$ have been found. It is shown that in both cases the problem reduces to that of quantum harmonic oscillator.
Keywords: crossed electric and magnetic fields
Mots-clés : Invariant solution, Klein–Gordon equation, Dirac equation. 
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     title = {Invariant solution of the {Dirac} equation in the crossed electric and magnetic fields $(H > E)$},
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R. G. Petrosyan; М. А. Davtyan. Invariant solution of the Dirac equation in the crossed electric and magnetic fields $(H > E)$. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 53 (2019) no. 2, pp. 138-141. http://geodesic.mathdoc.fr/item/UZERU_2019_53_2_a8/