  We have investigated the Fock-Darwin states of the massless chiral fermions
confined in a graphitic parabolic quantum dot. In the light of the Klein
tunneling, we have analyzed the condition for confinement of the Dirac fermions
in a cylindrically-symmetric potential. New features of the energy levels of
the Dirac electrons as compared to the conventional electronic systems are
dicussed. We have also evaluated the dipole-allowed transitions in the energy
levels of the dots. We propose that in the high magnetic field limit, the band
parameters can be accurately determined from the dipole-allowed transitions.
