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By using the Pekeris approximation, the Schr\"{o}dinger equation is solved for the nuclear deformed Woods-Saxon potential within the framework of the asymptotic iteration method (AIM). The energy levels are worked out and the corresponding…

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

By using the Pekeris approximation, the Schrodinger equation is approximately solved for the nuclear deformed Woods-Saxon potential within the framework of the asymptotic iteration method. The energy levels are worked out and the…

Nuclear Theory · Physics 2013-01-04 Babatunde J. Falaye , Majid Hamzavi , Sameer M. Ikhdair

In this work, the analytical solutions of the $D$-dimensional Schr\"odinger equation are studied in great detail for the Wood-Saxon potential by taking advantage of the Pekeris approximation. Within a novel improved scheme to surmount…

Quantum Physics · Physics 2018-01-22 V. H. Badalov

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

Mathematical Physics · Physics 2011-11-22 V. H. Badalov , H. I. Ahmadov

In this paper, the approximate analitical solutions of the hyper-radial Schr\"{o}dinger equation are obtained for the generalized Wood-Saxon potential by implementing the Pekeris approximation to surmount the centrifugal term. The energy…

Nuclear Theory · Physics 2026-05-01 V. H. Badalov , B. Baris , K. Uzun

In this study, we present analytical solutions of the Schr\"odinger equation with the Multiparameter potential containing the different types of physical potential via the asymptotic iteration method (AIM) by applying a Pekeris-type…

Quantum Physics · Physics 2017-02-02 Ahmet Taş , Ali Havare

The bound state solutions of the $D$-dimensional Schr\"{o}dinger equation for new mixed class of potential, $V(r)=\frac{V_1}{r^2}+\frac{V_2e^{-\alpha r}}{r}+V_3coth\alpha r+V_4\,,$ are studied within the framework of the Pekeris…

Quantum Physics · Physics 2016-10-17 Tapas Das

In this paper, we present the exact solution of one dimensional Schr\"odinger equation for Wood-Saxon plus Rosen-Morse plus symmetrical double well potential via Nikiforov-Uvarov mathematical method. The eigenvalues and eigenfunctions of…

Quantum Physics · Physics 2013-10-17 B. J. Falaye , K. J. Oyewumi , M. Abbas

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

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

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

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

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

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

By using the Pekeris approximation, the Duffin-Kemmer-Petiau (DKP) equation is investigated for a vector deformed Woods-Saxon (dWS) potential. The parametric Nikiforov-Uvarov (NU) method is used in calculations. The approximate energy…

Nuclear Theory · Physics 2012-10-05 Majid Hamzavi , Sameer M. Ikhdair

The bound state solution of the radial Schr\"{o}dinger equation with the generalized Woods-Saxon potential is carefully examined by using the Pekeris approximation for arbitrary $\ell$ states. The energy eigenvalues and the corresponding…

Nuclear Theory · Physics 2015-01-14 O. Bayrak , E. Aciksoz

Analytical solutions are presented for eigenvalues, eigenfunctions of {\color{red} D-dimensional Schrodinger equation having Eckart potential} within Nikiforov-Uvarov method. This uses a new, improved approximation for centrifugal term,…

Quantum Physics · Physics 2022-05-19 Debraj Nath , Amlan K. Roy

In this paper we present exact solutions of Schrodinger equation (SE) for a class of non central physical potentials within the formalism of position-dependent effective mass. The energy eigenvalues and eigenfunctions of the bound-states…

Mathematical Physics · Physics 2015-06-23 M. Chabab , A. El Batoul , M. Oulne

For non-zero $\ell$ values, we present an analytical solution of the radial Schr\"{o}dinger equation for the rotating Morse potential using the Pekeris approximation within the framework of the Asymptotic Iteration Method. The bound state…

Nuclear Theory · Physics 2008-11-26 O. Bayrak , I. Boztosun

We obtain the energy eigenvalues and radial wave functions of the D-Dimensional Dirac equation in the case of spin symmetry for Woods-Saxon potential in minimal length formalism. The radial part of the D-Dimensional Dirac equation is solved…

Quantum Physics · Physics 2021-06-11 A Suparmi , J Akbar , C Cari
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