Dirac Sextic Oscillator in the Constant Magnetic Field

Authors: RAMAZAN KOÇ, MEHMET KOCA

Abstract: 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.

Keywords: Dirac sextic oscillator, quasi-exactly solvable systems.

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