Noncommutative Phase Space Schrödinger Equation with Minimal Length
We consider the Schrödinger equation under an external magnetic field in two-dimensional noncommutative phase space with an explicit minimal length relation. The eigenfunctions are reported in terms of the Jacobi polynomials, and the explicit form of energy eigenvalues is reported.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2014-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/459345 |
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Article |
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doaj-3bb4b30ad53a43d5a4053804779048132020-11-24T23:19:49ZengHindawi LimitedAdvances in High Energy Physics1687-73571687-73652014-01-01201410.1155/2014/459345459345Noncommutative Phase Space Schrödinger Equation with Minimal LengthH. Hassanabadi0Z. Molaee1S. Zarrinkamar2Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, IranDepartment of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, IranDepartment of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, IranWe consider the Schrödinger equation under an external magnetic field in two-dimensional noncommutative phase space with an explicit minimal length relation. The eigenfunctions are reported in terms of the Jacobi polynomials, and the explicit form of energy eigenvalues is reported.http://dx.doi.org/10.1155/2014/459345 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
H. Hassanabadi Z. Molaee S. Zarrinkamar |
| spellingShingle |
H. Hassanabadi Z. Molaee S. Zarrinkamar Noncommutative Phase Space Schrödinger Equation with Minimal Length Advances in High Energy Physics |
| author_facet |
H. Hassanabadi Z. Molaee S. Zarrinkamar |
| author_sort |
H. Hassanabadi |
| title |
Noncommutative Phase Space Schrödinger Equation with Minimal Length |
| title_short |
Noncommutative Phase Space Schrödinger Equation with Minimal Length |
| title_full |
Noncommutative Phase Space Schrödinger Equation with Minimal Length |
| title_fullStr |
Noncommutative Phase Space Schrödinger Equation with Minimal Length |
| title_full_unstemmed |
Noncommutative Phase Space Schrödinger Equation with Minimal Length |
| title_sort |
noncommutative phase space schrödinger equation with minimal length |
| publisher |
Hindawi Limited |
| series |
Advances in High Energy Physics |
| issn |
1687-7357 1687-7365 |
| publishDate |
2014-01-01 |
| description |
We consider the Schrödinger equation under an external magnetic field in two-dimensional noncommutative phase space with an explicit minimal length relation. The eigenfunctions are reported in terms of the Jacobi polynomials, and the explicit form of energy eigenvalues is reported. |
| url |
http://dx.doi.org/10.1155/2014/459345 |
| work_keys_str_mv |
AT hhassanabadi noncommutativephasespaceschrodingerequationwithminimallength AT zmolaee noncommutativephasespaceschrodingerequationwithminimallength AT szarrinkamar noncommutativephasespaceschrodingerequationwithminimallength |
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1725576665605603328 |