Klein-Gordon Equation with Superintegrable Systems: Kepler-Coulomb, Harmonic Oscillator, and Hyperboloid
We study the two-dimensional Klein-Gordon equation with spin symmetry in the presence of the superintegrable potentials. On Euclidean space, the SO(3) group generators of the Schrödinger-like equation with the Kepler-Coulomb potential are represented. In addition, by Levi-Civita transformation, the...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/701042 |
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| author | V. Mohammadi S. Aghaei A. Chenaghlou |
| author_facet | V. Mohammadi S. Aghaei A. Chenaghlou |
| author_sort | V. Mohammadi |
| collection | DOAJ |
| description | We study the two-dimensional Klein-Gordon equation with spin symmetry in the presence of the superintegrable potentials. On Euclidean space, the SO(3) group generators of the Schrödinger-like equation with the Kepler-Coulomb potential are represented. In addition, by Levi-Civita transformation, the Schrödinger-like equation with harmonic oscillator which is dual to the Kepler-Coulomb potential and the SU(2) group generators of associated system are studied. Also, we construct the quadratic algebra of the hyperboloid superintegrable system. Then, we obtain the corresponding Casimir operators and the structure functions and the relativistic energy spectra of the corresponding quasi-Hamiltonians by using the quadratic algebra approach. |
| format | Article |
| id | doaj-art-9365088c737d4d6084aa9a64bc9328cd |
| institution | OA Journals |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-9365088c737d4d6084aa9a64bc9328cd2025-08-20T02:10:10ZengWileyAdvances in High Energy Physics1687-73571687-73652015-01-01201510.1155/2015/701042701042Klein-Gordon Equation with Superintegrable Systems: Kepler-Coulomb, Harmonic Oscillator, and HyperboloidV. Mohammadi0S. Aghaei1A. Chenaghlou2Department of Physics, Faculty of Science, Sahand University of Technology, P.O. Box 51335-1996, Tabriz, IranDepartment of Physics, Faculty of Science, Sahand University of Technology, P.O. Box 51335-1996, Tabriz, IranDepartment of Physics, Faculty of Science, Sahand University of Technology, P.O. Box 51335-1996, Tabriz, IranWe study the two-dimensional Klein-Gordon equation with spin symmetry in the presence of the superintegrable potentials. On Euclidean space, the SO(3) group generators of the Schrödinger-like equation with the Kepler-Coulomb potential are represented. In addition, by Levi-Civita transformation, the Schrödinger-like equation with harmonic oscillator which is dual to the Kepler-Coulomb potential and the SU(2) group generators of associated system are studied. Also, we construct the quadratic algebra of the hyperboloid superintegrable system. Then, we obtain the corresponding Casimir operators and the structure functions and the relativistic energy spectra of the corresponding quasi-Hamiltonians by using the quadratic algebra approach.http://dx.doi.org/10.1155/2015/701042 |
| spellingShingle | V. Mohammadi S. Aghaei A. Chenaghlou Klein-Gordon Equation with Superintegrable Systems: Kepler-Coulomb, Harmonic Oscillator, and Hyperboloid Advances in High Energy Physics |
| title | Klein-Gordon Equation with Superintegrable Systems: Kepler-Coulomb, Harmonic Oscillator, and Hyperboloid |
| title_full | Klein-Gordon Equation with Superintegrable Systems: Kepler-Coulomb, Harmonic Oscillator, and Hyperboloid |
| title_fullStr | Klein-Gordon Equation with Superintegrable Systems: Kepler-Coulomb, Harmonic Oscillator, and Hyperboloid |
| title_full_unstemmed | Klein-Gordon Equation with Superintegrable Systems: Kepler-Coulomb, Harmonic Oscillator, and Hyperboloid |
| title_short | Klein-Gordon Equation with Superintegrable Systems: Kepler-Coulomb, Harmonic Oscillator, and Hyperboloid |
| title_sort | klein gordon equation with superintegrable systems kepler coulomb harmonic oscillator and hyperboloid |
| url | http://dx.doi.org/10.1155/2015/701042 |
| work_keys_str_mv | AT vmohammadi kleingordonequationwithsuperintegrablesystemskeplercoulombharmonicoscillatorandhyperboloid AT saghaei kleingordonequationwithsuperintegrablesystemskeplercoulombharmonicoscillatorandhyperboloid AT achenaghlou kleingordonequationwithsuperintegrablesystemskeplercoulombharmonicoscillatorandhyperboloid |