Dirac sextic oscillator in the constant magnetic field

Ramazan Koç; Mehmet Koça

Dirac sextic oscillator in the constant magnetic field

Ramazan Koç^*, Mehmet Koça

^*Corresponding author for this work

Physics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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)

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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

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