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.
|Journal||International Journal of Geometric Methods in Modern Physics|
|Publication status||Published - 1 May 2018|
- (2 + 1)-dimensional Dirac equation
- separation of variables
- symmetry operators
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)