Dirac sextic oscillator in the constant magnetic field
Quantum Physics
2007-05-23 v1
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 -algebra and the destroyed symmetry of the equation can be recovered for a specific values of the magnetic field which leads to exact determination of the eigenvalues.
Keywords
Cite
@article{arxiv.quant-ph/0511191,
title = {Dirac sextic oscillator in the constant magnetic field},
author = {Ramazan Koc and Mehmet Koca},
journal= {arXiv preprint arXiv:quant-ph/0511191},
year = {2007}
}