  We compute the energy spectrum of the ground state of a 2D Dirac electron in
the presence of a Coulomb potential and a constant magnetic field perpendicular
to the plane where the the electron is confined. With the help of a mixed-basis
variational method we compute the wave function and the energy level and show
how it depends on the magnetic field strength. We compare the results with
those obtained numerically as well as in the non relativistic limit.
