dorsal/arxiv
View SchemaBound-States of the Spinless Salpeter Equation for the PT-Symmetric Generalized Hulthen Potential by the Nikiforov-Uvarov Method
| Authors | Sameer M. Ikhdair, Ramazan Sever |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0605045 |
| URL | https://arxiv.org/abs/quant-ph/0605045 |
| DOI | 10.1142/S0218301308010337 |
| Journal | Int. J. Mod. Phys. E 17, 1107(2008) |
Abstract
The one-dimensional spinless Salpeter equation has been solved for the PT-symmetric generalized Hulth\'{e}n potential. The Nikiforov-Uvarov {NU) method which is based on solving the second-order linear differential equations by reduction to a generalized equation of hypergeometric type is used to obtain exact energy eigenvalues and corresponding eigenfunctions. We have investigated the positive and negative exact bound states of the s-states for different types of complex generalized Hulthen potentials.
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"abstract": "The one-dimensional spinless Salpeter equation has been solved for the\nPT-symmetric generalized Hulth\\\u0027{e}n potential. The Nikiforov-Uvarov {NU)\nmethod which is based on solving the second-order linear differential equations\nby reduction to a generalized equation of hypergeometric type is used to obtain\nexact energy eigenvalues and corresponding eigenfunctions. We have investigated\nthe positive and negative exact bound states of the s-states for different\ntypes of complex generalized Hulthen potentials.",
"arxiv_id": "quant-ph/0605045",
"authors": [
"Sameer M. Ikhdair",
"Ramazan Sever"
],
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"quant-ph"
],
"doi": "10.1142/S0218301308010337",
"journal_ref": "Int. J. Mod. Phys. E 17, 1107(2008)",
"title": "Bound-States of the Spinless Salpeter Equation for the PT-Symmetric Generalized Hulthen Potential by the Nikiforov-Uvarov Method",
"url": "https://arxiv.org/abs/quant-ph/0605045"
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