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An approximate solution of the Schrodinger equation with the Hulth$\acute{e}$n potential is obtained in D-dimensions with an exponential approximation of the centrifugal term. Solution to the corresponding hyper-radial equation is given…

Mathematical Physics · Physics 2015-05-13 D. Agboola

The analytical solution of the modified radial Schr\"{o}dinger equation for the Hulth\'en potential is obtained within ordinary quantum mechanics by applying the Nikiforov-Uvarov method and supersymmetric quantum mechanics by applying the…

Mathematical Physics · Physics 2016-07-06 H. I. Ahmadov , Sh. I. Jafarzade , M. V. Qocayeva

Approximate bound state solutions of the Dirac equation with the Hulth\'en plus a new generalized ring-shaped (RS) potential are obtained for any arbitrary -state. The energy eigenvalue equation and the corresponding two-component wave…

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

The analytical solution of the Schr\"{o}dinger equation for the Manning-Rosen potential plus a ring-shaped like potential is obtained by applying the Nikiforov-Uvarov method by using the improved approximation scheme to the centrifugal…

Mathematical Physics · Physics 2015-06-11 H. I. Ahmadov , C. Aydin , N. Sh. Huseynova , O. Uzun

An approximate solution of the $D$-dimensional Schr$\ddot{o}$dinger equation with the modified P$\ddot{o}$schl-Teller potential is obtained with an approximation of the centrifugal term. Solution to the corresponding hyper-radial equation…

Mathematical Physics · Physics 2012-05-07 D. Agboola

The exact solutions of Schrodinger equation are obtained for a noncentral potential which is a ring-shaped potential. The energy eigenvalues and corresponding eigenfunctions are obtained for any angular momentum l. Nikiforov-Uvarov method…

Quantum Physics · Physics 2007-05-23 Ozlem Yesiltas , Ramazan sever

In this article, we present the analytical solution of the radial Schr\"{o}dinger equation for the Hulth\'{e}n potential within the framework of the asymptotic iteration method by using an approximation to the centrifugal potential for any…

Mathematical Physics · Physics 2007-05-23 O. Bayrak , G. Kocak , I. Boztosun

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 analytically the exact energy bound-states solutions of the Schrodinger equation in $D$-dimensions for a pseudoharmonic potential plus ring-shaped potential of the form $V(r,\theta)=D_{e}(\frac{r}{% r_{e}}-\frac{r_{e}}{r})…

Quantum Physics · Physics 2008-07-15 Sameer M. Ikhdair , Ramazan Sever

Exact solution of the Schrodinger equation with deformed ring shaped potential is obtained in the parabolic and spherical coordinates. The Nikiforov-Uvarov method is used in the solution. Eigenfunctions and corresponding energy eigenvalues…

Quantum Physics · Physics 2007-05-23 Metin Aktas , Ramazan Sever

In this paper, we solve the D-dimensional Schr\"odinger equation with hyperbolic Poschl-Teller potential plus a generalized ring-shaped potential. After the separation of variable in the hyperspherical coordinate. We used Nikiforov-Uvarov…

Quantum Physics · Physics 2017-11-17 Ibsal A. Assi , Akpan N. Ikot , E. O. Chukwuocha

We present a new approximation scheme for the centrifugal term to solve the Schrodinger equation with the Hulthen potential for any arbitrary l state by means of a mathematical Nikiforov-Uvarov (NU) method. We obtain the bound state energy…

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

The exact solutions of Schr\"odinger's equation with the deformed Hulth\'en potential $V_q(x)=-{\mu\, e^{-\delta\,x }}/({1-q\,e^{-\delta\,x}}),~ \delta,\mu, q>0$ are given, along with a closed--form formula for the normalization constants…

Mathematical Physics · Physics 2019-01-30 Richard L. Hall , Nasser Saad , K. D. Sen

We present analytically the exact energy bound-states solutions of the Schrodinger equation in D-dimensions for an alternative (often used) pseudo-Coulomb potential-plus- ring-shaped potential of the form $V(r)=-%…

Quantum Physics · Physics 2008-07-15 Sameer M. Ikhdair , Ramazan Sever

We present analytically the exact energy bound-states solutions of the Schrodinger equation in D-dimensions for a recently proposed modified Kratzer potential plus ring-shaped potential by means of the conventional Nikiforov-Uvarov method.…

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

An approximate solution of the Klein-Gordon equation for the general Hulth\'en-type potentials in $D$-dimensions within the framework of an approximation to the centrifugal term is obtained. The bound state energy eigenvalues and the…

Mathematical Physics · Physics 2009-11-13 Nasser Saad

Approximate bound state solutions of the Dirac equation with -deformed Woods-Saxon plus a new generalized ring-shaped potential are obtained for any arbitrary L-state. The energy eigenvalue equation and corresponding two-component wave…

Nuclear Theory · Physics 2013-08-02 Sameer M. Ikhdair , Majid Hamzavi

In this study, we obtain an approximate solution of the Schrodinger equation in arbitrary dimensions for the generalized shifted Hulthen potential model within the framework of the Nikiforov-Uvarov method. The bound state energy eigenvalues…

Quantum Physics · Physics 2020-01-29 C. O. Edet , P. O. Okoi , A. S. Yusuf , P. O. Ushie

The Schrodinger equation with the PT-symmetric Hulthen potential is solved exactly by taking into account effect of the centrifugal barrier for any l-state. Eigenfunctions are obtained in terms of the Jacobi polynomials. The…

Quantum Physics · Physics 2007-09-10 Sameer M. Ikhdair , Ramazan Sever

In this work, the analytical solution of the radial Schr\"{o}dinger equation for the Woods-Saxon potential is presented. In our calculations, we have applied the Nikiforov-Uvarov method by using the Pekeris approximation to the centrifugal…

Mathematical Physics · Physics 2015-05-13 V. H. Badalov , H. I. Ahmadov , A. I. Ahmadov
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