PHYSICS

On internal symmetries of the Dirac equation in graphene

P. P. Andrusevich^a, V. A. Pletyukhov^b, V. I. Strazhev<sup>a

a</sup> Belarusian State University, Minsk
^b Brest State University, Brest

Abstract: The internal symmetries of massless and massive Dirac equations in space-time $2+1$ are investigated. It is shown that the massless Dirac equation has 12-parameter symmetry group which as a subgroup contains 10-parameter group Lee $\mathrm{SO}(3,2)$. The massive equation $(m \ne 0)$ has the symmetry group $\operatorname{SO}(2,2)$.

Keywords: internal symmetry, Dirac field, generators, group, invariance.

UDC: 539.12:530.145

Received: 01.06.2011