2019; Physical and Mathematical Sciences, 53(2 (249): 138–141
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INVARIANT SOLUTION OF THE DIRAC EQUATION IN THE CROSSEDELECTRIC AND MAGNETIC FIELDS (H>E)

Mher Davtyan*

Received: 2025-01-30 · Published: 2019-08-15

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CC BY-NC 4.0 This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
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Original title
INVARIANT SOLUTION OF THE DIRAC EQUATION IN THE CROSSEDELECTRIC AND MAGNETIC FIELDS (H>E)
Author
Mher Davtyan
Published
2019-08-15
Licence
Creative Commons Attribution-NonCommercial 4.0 International
Original
https://doi.org/10.46991/PYSU:A/2019.53.2.138

Abstract

In the article exact analytical and invariant solutions for both spinless andhalf-spin relativistic charged particles in crossed constant electric and magneticfields, when H>E have been found. It is shown that in both cases the problemreduces to that of quantum harmonic oscillator.
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