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The energy spectra and the corresponding two- component spinor wavefunctions of the Dirac equation for the Rosen-Morse potential with spin and pseudospin symmetry are obtained. The $s-$wave ($\kappa = 0$ state) solutions for this problem…

Quantum Physics · Physics 2014-11-21 K. J. Oyewumi , C. O. Akoshile

It is shown that the application of the Nikiforov-Uvarov method by Ikhdair for solving the Dirac equation with the radial Rosen-Morse potential plus the spin-orbit centrifugal term is inadequate because the required conditions are not…

Quantum Physics · Physics 2016-03-23 A. Ghoumaid , F. Benamira , L. Guechi

Approximate analytical solutions of the Dirac equation are obtained for some diatomic molecular potentials plus a tensor interaction with spin and pseudospin symmetries with any angular momentum. We find the energy eigenvalue equations in…

Quantum Physics · Physics 2015-06-12 Huseyin Akcay , Ramazan Sever

Exact solution of the Dirac equation for a special form of the Woods-Saxon potential is obtained for the s-states. The energy eigenvalues and two-component spinor wave functions are derived by using a systematical method which is called as…

Nuclear Theory · Physics 2009-11-11 Cuneyt Berkdemir , Ayse Berkdemir , Ramazan Sever

The Dirac Equation is solved approximately for relativistic generalized Woods-Saxon potential including Coulomb-like tensor potential in exact pseudospin and spin symmetry limits. The bound states energy eigenvalues are found by using…

Nuclear Theory · Physics 2021-01-05 J. Akbar , A. Suparmi , C. Cari

The Dirac-Morse problem are investigated within the framework of an approximation to the term proportional to $1/r^2$ in the view of the position-dependent mass formalism. The energy eigenvalues and corresponding wave functions are obtained…

Quantum Physics · Physics 2012-04-16 Altug Arda , Ramazan Sever , Cevdet Tezcan , Huseyin Akcay

We examine the bound state solutions of the Dirac equation under the spin and pseudospin symmetries for a new suggested combined potential, Hulten plus a class of Yukawa potential including a Coulomb-like tensor interaction. An improved…

Quantum Physics · Physics 2021-02-16 A. I. Ahmadov , M. Demirci , M. F. Mustamin , S. M. Aslanova , M. Sh. Orujova

By applying the Pekeris-type approximation to deal with the (pseudo or) centrifugal term, the spin and pseudospin symmetry solutions of the Dirac equation for the Rosen-Morse potential including a Coulomb-like tensor potential with…

Nuclear Theory · Physics 2012-04-27 K. J. Oyewumi

By employing an exponential-type approximation scheme to replace the centrifugal term, we have approximately solved the Dirac equation for spin- particle subject to the complex -symmetric scalar and vector P\"oschl-Teller (PT) potentials…

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

By using the Nikiforov-Uvarov method, we give the approximate analytical solutions of the Dirac equation with the shifted Deng-Fan potential including the Yukawa-like tensor interaction under the spin and pseudospin symmetry conditions.…

Quantum Physics · Physics 2014-02-19 W. A. Yahya , B. J. Falaye , O. J. Oluwadare , K. J. Oyewumi

We approximately investigated pseudospin symmetric solutions of the Dirac equation for attractive radial potential including a Coulomb-like tensor interaction under pseudospin symmetry limit for any spin-orbit quantum number . By using the…

Quantum Physics · Physics 2012-08-03 Majid Hamzavi , M. Eshghi , Sameer M. Ikhdair

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

In some quantum chemical applications, the potential models are linear combination of single exactly solvable potentials. This is the case equivalent of the Stark effect for a charged harmonic oscillator (HO) in a uniform electric field of…

Quantum Physics · Physics 2012-03-13 Sameer M. Ikhdair

We present solutions of the Dirac equation with spin symmetry for vector and scalar modified P\"oschl-Teller potential within framework of an approximation of the centrifugal term. The relativistic energy spectrum is obtained using the…

Mathematical Physics · Physics 2015-05-20 D. Agboola

The Hellmann potential is a superposition potential that consists of an attractive Coulomb potential and a Yukawa potential. By using the generalized parametric Nikiforov-Uvarov (NU) method, we have studied the approximate analytical…

Quantum Physics · Physics 2012-12-11 A. A. Rajabi , M. Hamzavi

We investigate the approximate solutions of the Dirac equation with the position-dependent mass particle in the Eckart potential field including the Coulomb tensor interaction by using the parametric Nikiforov-Uvarov method. Taking an…

Nuclear Theory · Physics 2014-01-29 S. M. Ikhdair , B. J. Falaye

Dirac equation for a charged particle in static electromagnetic field is written for special cases of spherically symmetric potentials. Besides the well known Dirac-Coulomb and Dirac-Oscillator potentials, we obtain a relativistic version…

High Energy Physics - Theory · Physics 2009-11-07 A. D. Alhaidari

Exact bound state solutions of the Dirac equation for the Kratzer potential in the presence of a tensor potential are studied by using the Laplace transform approach for the cases of spin- and pseudo-spin symmetry. The energy spectra is…

Mathematical Physics · Physics 2012-09-19 Altug Arda , Ramazan Sever

In this paper we solve analytically Dirac equation for Eckart plus Hulthen potentials with Coulomb-like and Yukawa-like tensor interaction in the presence of Spin and Pseudo-spin Symmetry for any k number. The Parametric Nikiforov-Uvarov…

Nuclear Theory · Physics 2017-02-08 Mohammad Reza Shojaei , Mohsen Mousavi

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