Unified Treatment of a Class of Spherically Symmetric Potentials: Quasi-Exact Solution
We investigate the Schrödinger equation for a class of spherically symmetric potentials in a simple and unified manner using the Lie algebraic approach within the framework of quasi-exact solvability. We illustrate that all models give rise to the same basic differential equation, which is expressib...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/8710604 |
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| _version_ | 1832545861509316608 |
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| author | H. Panahi M. Baradaran |
| author_facet | H. Panahi M. Baradaran |
| author_sort | H. Panahi |
| collection | DOAJ |
| description | We investigate the Schrödinger equation for a class of spherically symmetric potentials in a simple and unified manner using the Lie algebraic approach within the framework of quasi-exact solvability. We illustrate that all models give rise to the same basic differential equation, which is expressible as an element of the universal enveloping algebra of sl(2). Then, we obtain the general exact solutions of the problem by employing the representation theory of sl(2) Lie algebra. |
| format | Article |
| id | doaj-art-7572f1ebec5f4f7bb948c7501cbdd98e |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-7572f1ebec5f4f7bb948c7501cbdd98e2025-02-03T07:24:36ZengWileyAdvances in High Energy Physics1687-73571687-73652016-01-01201610.1155/2016/87106048710604Unified Treatment of a Class of Spherically Symmetric Potentials: Quasi-Exact SolutionH. Panahi0M. Baradaran1Department of Physics, University of Guilan, Rasht 41635-1914, IranDepartment of Physics, University of Guilan, Rasht 41635-1914, IranWe investigate the Schrödinger equation for a class of spherically symmetric potentials in a simple and unified manner using the Lie algebraic approach within the framework of quasi-exact solvability. We illustrate that all models give rise to the same basic differential equation, which is expressible as an element of the universal enveloping algebra of sl(2). Then, we obtain the general exact solutions of the problem by employing the representation theory of sl(2) Lie algebra.http://dx.doi.org/10.1155/2016/8710604 |
| spellingShingle | H. Panahi M. Baradaran Unified Treatment of a Class of Spherically Symmetric Potentials: Quasi-Exact Solution Advances in High Energy Physics |
| title | Unified Treatment of a Class of Spherically Symmetric Potentials: Quasi-Exact Solution |
| title_full | Unified Treatment of a Class of Spherically Symmetric Potentials: Quasi-Exact Solution |
| title_fullStr | Unified Treatment of a Class of Spherically Symmetric Potentials: Quasi-Exact Solution |
| title_full_unstemmed | Unified Treatment of a Class of Spherically Symmetric Potentials: Quasi-Exact Solution |
| title_short | Unified Treatment of a Class of Spherically Symmetric Potentials: Quasi-Exact Solution |
| title_sort | unified treatment of a class of spherically symmetric potentials quasi exact solution |
| url | http://dx.doi.org/10.1155/2016/8710604 |
| work_keys_str_mv | AT hpanahi unifiedtreatmentofaclassofsphericallysymmetricpotentialsquasiexactsolution AT mbaradaran unifiedtreatmentofaclassofsphericallysymmetricpotentialsquasiexactsolution |