  We address the problem of Dirac fermions graphene quantum well and we focus
on the low energy approximation for the Hamiltonian of the system where the
former can be described by a Dirac-like Hamiltonian. Interesting relations are
obtained and used to discuss the influence of the spin-orbit coupling, which
induces an effective mass-like term, on the transport properties of
Single-layer graphene quantum well. It's found that the reflection probability
of incident electrons is sensitive to the effective mass-like term. This can be
explained by the dependence of R on the incident electrons direction and their
energies. Notably, we found that the reflection probability for massive
fermions with a very small angle, i.e. the wave-vector along the transport
direction is zero in the GQW, can be greatly suppressed.
