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 (2 + 1)-dimensional Riemann (curved) spacetime. Nonequivalent complete sets of mutually commuting symmetry operators are classified in a (2 + 1)-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.
Original language | English |
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Article number | 1850085 |
Journal | International Journal of Geometric Methods in Modern Physics |
Volume | 15 |
Issue number | 5 |
DOIs | |
Publication status | Published - 1 May 2018 |
Keywords
- (2 + 1)-dimensional Dirac equation
- separation of variables
- symmetry operators
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)