We introduce a Dirac equation which reproduces the usual radial sextic oscillator potential in the non-relativistic limit. We determine its energy spectrum in the presence of the magnetic field. It is shown that the equation is solved in the context of quasi-exactly-solvable problems. The equation possesses hidden sl_2-algebra and the destroyed symmetry of the equation can be recovered for specific values of the magnetic field which leads to exact determination of the eigenvalues.
KOÇ, RAMAZAN and KOCA, MEHMET (2005) "Dirac Sextic Oscillator in the Constant Magnetic Field," Turkish Journal of Physics: Vol. 29: No. 4, Article 1. Available at: https://journals.tubitak.gov.tr/physics/vol29/iss4/1