### 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 specific values of the magnetic field which leads to exact determination of the eigenvalues.

Original language | English |
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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)

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## Cite this

Koç, R., & Koça, M. (2005). Dirac sextic oscillator in the constant magnetic field.

*Turkish Journal of Physics*,*29*(4), 201-205.