Dirac sextic oscillator in the constant magnetic field

Ramazan Koç*, Mehmet Koça

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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 languageEnglish
Pages (from-to)201-205
Number of pages5
JournalTurkish Journal of Physics
Issue number4
Publication statusPublished - Jul 2005


  • Dirac sextic oscillator
  • Quasi-exactly solvable systems

ASJC Scopus subject areas

  • General Physics and Astronomy


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