### 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 |

### Fingerprint

### Keywords

- Dirac sextic oscillator
- Quasi-exactly solvable systems

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Turkish Journal of Physics*,

*29*(4), 201-205.

**Dirac sextic oscillator in the constant magnetic field.** / Koç, Ramazan; Koça, Mehmet.

Research output: Contribution to journal › Article

*Turkish Journal of Physics*, vol. 29, no. 4, pp. 201-205.

}

TY - JOUR

T1 - Dirac sextic oscillator in the constant magnetic field

AU - Koç, Ramazan

AU - Koça, Mehmet

PY - 2005/7

Y1 - 2005/7

N2 - 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.

AB - 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.

KW - Dirac sextic oscillator

KW - Quasi-exactly solvable systems

UR - http://www.scopus.com/inward/record.url?scp=30444438862&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=30444438862&partnerID=8YFLogxK

M3 - Article

VL - 29

SP - 201

EP - 205

JO - Turkish Journal of Physics

JF - Turkish Journal of Physics

SN - 1300-0101

IS - 4

ER -