Energy spectrum of a 2D Dirac oscillator in the presence of a constant   magnetic field and an antidot potential
  We investigate the energy spectrum and the corresponding eigenfunctions of a 2D Dirac oscillator confined by an antidot potential in the presence of a magnetic field and Aharonov-Bohm flux field. Analytical solutions are obtained and compared with the results of the Schr\"odinger equation found in the literature. Further, the dependence of the spectrum on the magnetic quantum number and on the repulsive potential is discussed. 
Huseyin Akcay and Ramazan Sever
quant-ph