Dirac Sextic Oscillator in the Constant Magnetic Field
Authors : Ramazan Koç, Mehmet Koca
Pages : 201-206
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Publication Date : 9999-12-31
Article Type : Makaleler
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 sl2-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.