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.
Algebras of integrals of motion for the Hamilton-Jacobi and Klein-Gordon-Fock equations in spacetime with a four-parameter groups of motions in the presence of an external electromagnetic field
Integrating Klein-Gordon-Fock equations in an external electromagnetic field on Lie groups
The Dirac equation in an external electromagnetic field: symmetry algebra and exact integration
![QR code for arXiv:1709.04644 [math-ph]](http://oss.arxitics.com/images/favicon.svg)