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Bound-states of a semi-relativistic equation for the PT-symmetric generalized Hulthen potential by the Nikiforov-Uvarov method
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Date
2008-06-01
Author
IKHDAİR, SAMEER
Sever, Ramazan
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The one-dimensional semi-relativistic equation has been solved for the PT-symmetric generalized Hulthen 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.
Subject Keywords
Nuclear and High Energy Physics
,
General Physics and Astronomy
URI
https://hdl.handle.net/11511/62690
Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS
DOI
https://doi.org/10.1142/s0218301308010337
Collections
Department of Physics, Article
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The one-dimensional Dirac equation is solved for the PT-symmetric generalized Hulthen potential. The Nikiforov-Uvarov 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.
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The exact solution of the one-dimensional Klein-Gordon equation of the PT-symmetric generalized Woods-Saxon potential is obtained. The exact energy eigenvalues and wavefunctions are derived analytically by using the Nikiforov and Uvarov method. In addition, the positive and negative exact bound states of the s-states are also investigated for different types of complex generalized Woods-Saxon potentials. (C) 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
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S. IKHDAİR and R. Sever, “Bound-states of a semi-relativistic equation for the PT-symmetric generalized Hulthen potential by the Nikiforov-Uvarov method,”
INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS
, pp. 1107–1123, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62690.