dorsal/arxiv
View SchemaExact Solution of the Klein-Gordon Equation for the PT-Symmetric Generalized Woods-Saxon Potential by the Nikiforov-Uvarov Method
| Authors | Sameer M. Ikhdair, Ramazan Sever |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610183 |
| URL | https://arxiv.org/abs/quant-ph/0610183 |
| DOI | 10.1002/andp.200610232 |
Abstract
The one-dimensional Klein-Gordon (KG) equation has been solved for the PT-symmetric generalized Woods-Saxon (WS) 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 also investigated the positive and negative exact bound states of the s-states for different types of complex generalized WS potentials.
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"abstract": "The one-dimensional Klein-Gordon (KG) equation has been solved for the\nPT-symmetric generalized Woods-Saxon (WS) 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 also\ninvestigated the positive and negative exact bound states of the s-states for\ndifferent types of complex generalized WS potentials.",
"arxiv_id": "quant-ph/0610183",
"authors": [
"Sameer M. Ikhdair",
"Ramazan Sever"
],
"categories": [
"quant-ph"
],
"doi": "10.1002/andp.200610232",
"title": "Exact Solution of the Klein-Gordon Equation for the PT-Symmetric Generalized Woods-Saxon Potential by the Nikiforov-Uvarov Method",
"url": "https://arxiv.org/abs/quant-ph/0610183"
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