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The approximate analytical solutions of the Dirac equations with the reflectionless-type and Rosen-Morse potentials including the spin-orbit centrifugal (pseudo-centrifugal) term are obtained. Under the conditions of spin and pseudospin…

Quantum Physics · Physics 2012-05-17 Sameer M. Ikhdair , Ramazan Sever

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

The Dirac equation is solved to obtain its approximate bound states for a spin-1/2 particle in the presence of trigonometric Poschl-Teller (tPT) potential including a Coulomb-like tensor interaction with arbitrary spin-orbit quantum number…

Quantum Physics · Physics 2013-08-02 Babatunde J. Falaye , Sameer M. Ikhdair

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

The role of the Hulthen potential on the spin and pseudospin symmetry solutions is investigated systematically by solving the Dirac equation with attractive scalar S(r) and repulsive vector V(r) potentials. The spin and pseudospin symmetry…

Quantum Physics · Physics 2011-10-07 Sameer Ikhdair , Cüneyt Berkdemir , Ramazan Sever

The Dirac equation is solved approximately for the Hulthen potential with the pseudospin symmetry for any spin-orbit quantum number $\kappa$ in the position-dependent mass background. Solutions are obtained reducing the Dirac equation into…

Quantum Physics · Physics 2008-08-08 Sameer M. Ikhdair , Ramazan Sever

We present exact analytical solutions of the Dirac equation in $(1+1)$-dimensions for the generalized Kratzer potential by taking the pseudoscalar interaction term as an attractive Coulomb potential. We study the problem for a particular…

Quantum Physics · Physics 2019-01-18 Altug Arda , Ramazan Sever

The exact Dirac equation for the energy-dependent Coulomb (EDC) potential including a Coulomb-like tensor (CLT) potential has been studied in the presence of spin and pseudospin (p-spin) symmetries with arbitrary spin-orbit quantum number…

Nuclear Theory · Physics 2017-08-02 Majid Hamzavi , Sameer M. Ikhdair

We study the effect of spatially dependent mass function over the solution of the Dirac equation with the Coulomb potential in the (3+1)-dimensions for any arbitrary spin-orbit $\kappa $ state$.$ In the framework of the spin and pseudospin…

Mathematical Physics · Physics 2010-03-16 Sameer M. Ikhdair , Ramazan Sever

In this study, approximate bound state solutions of the Dirac equation with the newly proposed shifted Tietz-Wei (sTW) potential were obtained for any arbitrary quantum number. Using Generalized Parametric Nikiforov Methods, the eigenenergy…

Nuclear Theory · Physics 2019-03-26 K. O. Suleman , K. J. Oyewumi , L. A. Sunmonu , D. A. Ajadi

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

Approximate analytic solutions of the Dirac equation with Tietz-Hua (TH) potential are obtained for arbitrary spin-orbit quantum number using the Pekeris approximation scheme to deal with the spin-orbit coupling terms In the presence of…

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

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

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

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

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 article, the linear plus modified Yukawa potential (LIMYP) is used as the quark antiquark interaction potential for the approximate analytical bound state solution of the Klein Gordon equation in three-dimensional space. The energy…

High Energy Physics - Phenomenology · Physics 2023-07-24 Kaushal R Purohit , Pooja Jakhad , Ajay Kumar Rai

The Yukawa potential is often used to compute bound-state normalizations and energy levels of neutral atoms. By using the generalized parametric Nikiforov-Uvarov (NU) method, we have obtained the approximate analytical solutions of the…

Quantum Physics · Physics 2012-10-23 M. Hamzavi , M. Movahedi , K. -E. Thylwe , A. A. Rajabi

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

The Killingbeck potential consisting of the harmonic oscillator-plus-Cornell potential, is of great interest in high energy physics. The solution of Dirac equation with the Killingbeck potential is studied in the presence of the pseudospin…

Mathematical Physics · Physics 2013-01-04 Majid Hamzavi , Sameer M. Ikhdair , Karl-Erik Thylwe