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Dirac sextic oscillator in the constant magnetic field

Ramazan Koc·Mehmet Koca
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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 a specific values of the magnetic field which leads to exact determination of the eigenvalues.

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Ramazan Koc, Mehmet Koca. 2005-11-19. Dirac sextic oscillator in the constant magnetic field. https://arxiv.org/abs/quant-ph/0511191

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