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The Klein-Gordon equation in D-dimensions for a recently proposed Kratzer potential plus ring-shaped potential is solved analytically by means of the conventional Nikiforov-Uvarov method. The exact energy bound-states and the corresponding…

Quantum Physics · Physics 2009-11-13 Sameer M. Ikhdair , Ramazan Sever

Exact solution of Schrodinger equation for the pseudoharmonic potential is obtained for an arbitrary angular momentum. The energy eigenvalues and corresponding eigenfunctions are calculated by Nikiforov-Uvarov method. Wavefunctions are…

Quantum Physics · Physics 2008-11-26 Cevdet Tezcan , Metin Aktas , Ozlem Yesiltas Ramazan Sever

We present an alternative and simple method for the exact solution of the Klein-Gordon equation in the presence of the non-central equal scalar and vector potentials by using Nikiforov-Uvarov (NU) method. The exact bound state energy…

Quantum Physics · Physics 2007-05-23 Fevziye Yasuk , Aysen Durmus , Ismail Boztosun

The energy levels of the Schr\"odinger equation under the Eckart-Hellmann potential (EHP) energy function are studied by the Nikiforov-Uvarov-Functional Analysis (NUFA) method. We obtained the analytic solution of the energy spectra and the…

Quantum Physics · Physics 2022-04-12 E. P. Inyang , E. S. William , E. Omugbe , E. P. Inyang , E. A. Ibanga , F. Ayedun , I. O. Akpan , J. E. Ntibi

We study the approximate analytical solutions of the Dirac equation for the generalized Woods-Saxon potential with the pseudo-centrifugal term. In the framework of the spin and pseudospin symmetry concept, the approximately analytical bound…

Quantum Physics · Physics 2015-05-13 Sameer M. Ikhdair , Ramazan Sever

Analytical solutions of the N-dimensional Schr\"odinger equation for the newly proposed Varshni-Hulth\'en potential are obtained within the framework of Nikiforov-Uvarov method by using Greene-Aldrich approximation scheme to the centrifugal…

Quantum Physics · Physics 2020-12-29 E. P. Inyang , E. S. William , J. A. Obu

We present an approximate analytic solution of the Klein-Gordon equation in the presence of equal scalar and vector generalized deformed hyperbolic potential functions by means of parameteric generalization of the Nikiforov-Uvarov method.…

Quantum Physics · Physics 2015-05-13 Sameer M. Ikhdair

The exact solutions of the one-dimensional Klein-Gordon equation for the Rosen-Morse type potential with equal scalar and vector potentials are presented. First we briefly review Nikiforov-Uvarov mathematical method. Using this method,…

Quantum Physics · Physics 2008-09-25 A. Rezaei Akbariyeh , H. Motavali

The approximate analytical bound state solution of the Schr\"odinger equation for the Manning-Rosen potential is carried out by taking a new approximation scheme to the orbital centrifugal term. The Nikiforov-Uvarov method is used in the…

Quantum Physics · Physics 2012-03-14 Sameer M. Ikhdair

Approximate analytical bound-state solutions of the Dirac particle in the field of both attractive and repulsive RM potentials including Coulomb-like tensor (CLT) potential are obtained for arbitrary spin-orbit quantum number The Pekeris…

Quantum Physics · Physics 2013-08-01 Sameer M. Ikhdair , majid Hamzavi

In this paper we use the Nikiforv-Uvarov method to obtain the approximate solutions of the Klein-Gordon equation with deformed five parameter exponential type potential (DFPEP) model. We also obtain the solutions of the Schr\"odinger…

Quantum Physics · Physics 2017-01-05 A. N. Ikot , B. C. Lütfüoğlu , M. I. Ngwueke , M. E. Udoh , S. Zare , H. Hassanabadi

By converting the rectangular basis potential V(x,y) into the form as V(r)+V(r, phi) described by the pseudo central plus noncentral potential, particular solutions of the two dimensional Schrodinger equation in plane-polar coordinates have…

Quantum Physics · Physics 2011-09-06 Metin Aktas

We give the approximate analytic solutions of the Dirac equations for the Rosen-Morse potential including the spin-orbit centrifugal term. In the framework of the spin and pseudospin symmetry concept, we obtain the analytic bound state…

Quantum Physics · Physics 2010-02-19 Sameer M. Ikhdair

In this work, on the condition that scalar potential is equal to vector potential, the bound state solutions of the Klein-Fock-Gordon equation of the Manning-Rosen plus ring-shaped like potential are obtained by Nikiforov-Uvarov method. The…

Mathematical Physics · Physics 2015-06-18 A. I. Ahmadov , C. Aydin , O. Uzun

We present the bound state solutions of the Schr\"odinger equation with generalized inverted hyperbolic potential using the Nikiforov-Uvarov method. We obtain the energy spectrum and the wave function with this potential for arbitrary -…

Mathematical Physics · Physics 2015-05-30 Akpan N. Ikot , Oladunjoye A. Awoga , Louis E. Akpabio , Benedict I. Ita

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…

Quantum Physics · Physics 2015-06-26 Sameer M. Ikhdair , Ramazan Sever

We report bound state solutions of the Klein Gordon equation with a novel combined potential, the Eckart plus a class of Yukawa potential, by means of the parametric Nikiforov-Uvarov method. To deal the centrifugal and the coulombic…

Quantum Physics · Physics 2023-05-16 Mehmet Demirci , Ramazan Sever

In this work, we apply the parametric Nikiforov-Uvarov method to obtain eigen solutions and total normalized wave function of Schr\"odinger equation express in terms of Jacobi polynomial using Coulomb plus Screened Exponential Hyperbolic…

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…

Quantum Physics · Physics 2009-11-11 Harun Egrifes , Ramazan Sever

We explore the effect of the external magnetic and Aharonov-Bohm (AB) flux fields on the energy levels of Dirac particle subjects to mixed scalar and vector anharmonic oscillator field in the two-dimensional (2D) space. We calculate the…

Quantum Physics · Physics 2014-02-03 Majid Hamzavia , Sameer M. Ikhdair , Babatunde J. Falaye