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.
| Original language | English |
|---|---|
| Pages (from-to) | 201-205 |
| Number of pages | 5 |
| Journal | Turkish Journal of Physics |
| Volume | 29 |
| Issue number | 4 |
| Publication status | Published - Jul 2005 |
Keywords
- Dirac sextic oscillator
- Quasi-exactly solvable systems
ASJC Scopus subject areas
- Physics and Astronomy(all)