Bound states of the Dirac equation for the PT-symmetric generalized Hulthen potential by the Nikiforov-Uvarov method

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2005-09-05

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Egrifes, H
Sever, Ramazan

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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.

Subject Keywords

General Physics and Astronomy

URI

https://hdl.handle.net/11511/62504

Journal

PHYSICS LETTERS A

DOI

https://doi.org/10.1016/j.physleta.2005.06.061

Collections

Department of Physics, Article

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Analytical Solutions to the Klein-Gordon Equation with Position-Dependent Mass for q-Parameter Poschl-Teller Potential Arda, Altug; Sever, Ramazan; TEZCAN, CEVDET (IOP Publishing, 2010-01-01) The energy eigenvalues and the corresponding eigenfunctions of the one-dimensional Klein-Gordon equation with q-parameter Poschl-Teller potential are analytically obtained within the position-dependent mass formalism. The parametric generalization of the Nikiforov-Uvarov method is used in the calculations by choosing a mass distribution.
Effective Mass Schrodinger Equation via Point Canonical Transformation Arda, Altug; Sever, Ramazan (IOP Publishing, 2010-07-01) Exact solutions of the effective radial Schrodinger equation are obtained for some inverse potentials by using the point canonical transformation. The energy eigenvalues and the corresponding wave functions are calculated by using a set of mass distributions.
Approximate solution to the time-dependent Kratzer plus screened Coulomb potential in the Feinberg-Horodecki equation Farout, Mahmoud; Sever, Ramazan; Ikhdair, Sameer M. (IOP Publishing, 2020-06-01) We obtain the quantized momentum eigenvalues P-n together with space-like coherent eigenstates for the space-like counterpart of the Schrodinger equation, the Feinberg-Horodecki equation, with a combined Kratzer potential plus screened coulomb potential which is constructed by temporal counterpart of the spatial form of these potentials. The present work is illustrated with two special cases of the general form: the time-dependent modified Kratzer potential and the time-dependent screened Coulomb potential.
Bound-states of a semi-relativistic equation for the PT-symmetric generalized Hulthen potential by the Nikiforov-Uvarov method IKHDAİR, SAMEER; Sever, Ramazan (World Scientific Pub Co Pte Lt, 2008-06-01) 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.

Citation Formats

H. Egrifes and R. Sever, “Bound states of the Dirac equation for the PT-symmetric generalized Hulthen potential by the Nikiforov-Uvarov method,” PHYSICS LETTERS A, pp. 117–126, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62504.