{ "id": "quant-ph/0511191", "version": "v1", "published": "2005-11-19T12:44:21.000Z", "updated": "2005-11-19T12:44:21.000Z", "title": "Dirac sextic oscillator in the constant magnetic field", "authors": [ "Ramazan Koc", "Mehmet Koca" ], "journal": "Tr. J. Phys. 29 (2005) 201-205", "categories": [ "quant-ph" ], "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 a specific values of the magnetic field which leads to exact determination of the eigenvalues.", "revisions": [ { "version": "v1", "updated": "2005-11-19T12:44:21.000Z" } ], "analyses": { "keywords": [ "constant magnetic field", "dirac sextic oscillator", "usual radial sextic oscillator potential", "equation possesses hidden", "dirac equation" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }