INVARIANT SOLUTION OF THE DIRAC EQUATION IN THE CROSSED ELECTRIC AND MAGNETIC FIELDS $ (H \mathclose{>} E) $

R.G. Petrosyan; M.A. Davtyan

doi:10.46991/PYSU:A/2019.53.2.138

INVARIANT SOLUTION OF THE DIRAC EQUATION IN THE CROSSED ELECTRIC AND MAGNETIC FIELDS $ (H \mathclose{>} E) $

Authors

R.G. Petrosyan Chair of Theoretical Physics, YSU, Armenia
M.A. Davtyan Chair of Theoretical Physics, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2019.53.2.138

Keywords:

invariant solution, crossed electric and magnetic fields, Klein–Gordon equation, Dirac equation

Abstract

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 \mathclose{>} E $ have been found. It is shown that in both cases the problem reduces to that of quantum harmonic oscillator.

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Published

2019-08-15

How to Cite

Petrosyan, R., & Davtyan, M. (2019). INVARIANT SOLUTION OF THE DIRAC EQUATION IN THE CROSSED ELECTRIC AND MAGNETIC FIELDS $ (H \mathclose{>} E) $. Proceedings of the YSU A: Physical and Mathematical Sciences, 53(2 (249), 138–141. https://doi.org/10.46991/PYSU:A/2019.53.2.138