Symmetry operators and separation of variables in the $(2+1)$-dimensional Dirac equation with external electromagnetic field
Mathematical Physics
2018-02-01 v2 math.MP
Abstract
We obtain and analyze equations determining first-order differential symmetry operators with matrix coefficients for the Dirac equation with an external electromagnetic potential in a -dimensional Riemann (curved) spacetime. Nonequivalent complete sets of mutually commuting symmetry operators are classified in a -dimensional Minkowski (flat) space. For each of the sets we carry out a complete separation of variables in the Dirac equation and find a corresponding electromagnetic potential permitting separation of variables.
Keywords
Cite
@article{arxiv.1709.04644,
title = {Symmetry operators and separation of variables in the $(2+1)$-dimensional Dirac equation with external electromagnetic field},
author = {A. V. Shapovalov and A. I. Breev},
journal= {arXiv preprint arXiv:1709.04644},
year = {2018}
}
Comments
24 pages, version accepted for publication in Int. J. Geom. Methods Mod. Phys