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We present the exact solution of the Klein-Gordon with Hylleraas Potential using the Nikiforov-Uvarov method. We obtain explicitly the bound state energy eigenvalues and the corresponding eigen function are also obtained and expressed in…

Mathematical Physics · Physics 2015-06-03 Akpan N. Ikot , Oladunjoye A. Awoga , Benedict I. Ita

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

We present the exact solution of the Klein-Gordon equation in D-dimensions in the presence of the noncentral equal scalar and vector pseudoharmonic potential plus the new ring-shaped potential using the Nikiforov-Uvarov method. We obtain…

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

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…

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

The analytical solutions of the Klein-Gordon equation with the Yukawa potential is presented within the framework of an approximation to the centrifugal potential for any arbitrary state with the position-dependent mass using the parametric…

Quantum Physics · Physics 2017-08-14 C. A. Onate , A. N. Ikot , M. C. Onyeaju , O. Ebomwonyi

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

We present a new approximation scheme for the centrifugal term to obtain a quasi-exact analytical bound state solutions within the framework of the position-dependent effective mass radial Klein-Gordon equation with the scalar and vector…

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

The radial part of the Klein-Gordon equation for the Woods-Saxon potential is solved. In our calculations, we have applied the Nikiforov-Uvarov method by using the Pekeris approximation to the centrifugal potential for any $l$ states. The…

Mathematical Physics · Physics 2015-05-14 V. H. Badalov , H. I. Ahmadov , S. V. Badalov

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

The approximate analytic bound state solutions of the Klein-Gordon equation with equal scalar and vector exponential-type potentials including the centrifugal potential term are obtained for any arbitrary orbital angular momentum number l…

Quantum Physics · Physics 2011-10-06 Sameer M. Ikhdair

We solve the Klein-Gordon equation in any $D$-dimension for the scalar and vector general Hulth\'{e}n-type potentials with any $l$ by using an approximation scheme for the centrifugal potential. Nikiforov-Uvarov method is used in the…

Quantum Physics · Physics 2009-11-13 Sameer M. Ikhdair

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 2007-05-23 Sameer M. Ikhdair , Ramazan Sever

Exact bound state solutions of the Schrodinger equation for generalized noncentral potential are examined by means of the Nikiforov-Uvarov method. The wavefunctions and the corresponding energy eigenvalues of the system are obtained…

Quantum Physics · Physics 2009-07-10 Metin Aktas

We present analytical bound state solutions of the spin-zero Klein-Gordon (KG) particles in the field of unequal mixture of scalar and vector Yukawa potentials within the framework of the approximation scheme to the centrifugal potential…

Nuclear Theory · Physics 2013-08-01 Majid Hamzavi , Sameer M. Ikhdair , Karl-Erik Thylwe

We have investigated the reality of exact bound states of complex and/or PT-symmetric non-Hermitian exponential-type generalized Hulthen potential. The Klein-Gordon equation has been solved by using the Nikiforov-Uvarov method which is…

Quantum Physics · Physics 2007-05-23 Mehmet Simsek , Harun Egrifes

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 one-dimensional Klein-Gordon equation is solved for the PT-symmetric generalized Hulthen potential in the scalar coupling scheme. The relativistic bound-state energy spectrum and the corresponding wave functions are obtained by using…

Quantum Physics · Physics 2007-05-23 Harun Egrifes , Ramazan Sever

The Klein-Gordon equation is solved approximately for the Hulth\'{e}n potential for any angular momentum quantum number $\ell$ with the position-dependent mass. Solutions are obtained reducing the Klein-Gordon equation into a…

Mathematical Physics · Physics 2009-11-13 Altug Arda , Ramazan Sever , Cevdet Tezcan

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

The radial part of the Klein-Gordon equation for the generalized Woods-Saxon potential is solved by using the Nikiforov-Uvarov method in the case of spatially dependent mass within the new approximation scheme to the centrifugal potential…

Quantum Physics · Physics 2009-09-01 Altug Arda , Ramazan Sever
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