Jaromir Tosiek
The Dirac -- Weyl equation in graphene
Study of Wigner functions for massless Dirac fermions in a graphene layer lying on the $xy$-plane that interacts with an external homogeneous magnetic field $\vec{B}=B_{0}\hat{k}$ is presented. By solving the $\star_{M}$ Dirac-Weyl equation, the Landau levels as well as the Wigner functions for graphene electrons in the presence of magnetic field are obtained. The problem is considered on a discrete phase space.
