dorsal/arxiv
View SchemaDirac sextic oscillator in the constant magnetic field
| Authors | Ramazan Koc, Mehmet Koca |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511191 |
| URL | https://arxiv.org/abs/quant-ph/0511191 |
| Journal | Tr. J. Phys. 29 (2005) 201-205 |
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.
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"abstract": "We introduce a Dirac equation which reproduces the usual radial sextic\noscillator potential in the non-relativistic limit. We determine its energy\nspectrum in the presence of the magnetic field. It is shown that the equation\nis solved in the context of quasi-exactly-solvable problems. The equation\npossesses hidden $sl_{2}$-algebra and the destroyed symmetry of the equation\ncan be recovered for a specific values of the magnetic field which leads to\nexact determination of the eigenvalues.",
"arxiv_id": "quant-ph/0511191",
"authors": [
"Ramazan Koc",
"Mehmet Koca"
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"quant-ph"
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"journal_ref": "Tr. J. Phys. 29 (2005) 201-205",
"title": "Dirac sextic oscillator in the constant magnetic field",
"url": "https://arxiv.org/abs/quant-ph/0511191"
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