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.
|Number of pages||5|
|Journal||Turkish Journal of Physics|
|Publication status||Published - Jul 2005|
- Dirac sextic oscillator
- Quasi-exactly solvable systems
ASJC Scopus subject areas
- Physics and Astronomy(all)