Dirac sextic oscillator in the constant magnetic field

Details Dirac sextic oscillator in the constant magnetic field Dirac sextic oscillator in the constant magnetic field

2005-11-19

arxiv.org/abs/quant-ph/0511191v1

Tr. J. Phys. 29 (2005) 201-205

Physics

Quantum Physics

Scientific paper

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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