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Related papers: Bound state solutions of the Dirac-Rosen-Morse pot…

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We give the approximate analytic solutions of the Dirac equations for the Rosen-Morse potential including the spin-orbit centrifugal term. In the framework of the spin and pseudospin symmetry concept, we obtain the analytic bound state…

Quantum Physics · Physics 2010-02-19 Sameer M. Ikhdair

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

By using an improved approximation scheme to deal with the centrifugal (pseudo-centrifugal) term, we solve the Dirac equation for the generalized Morse potential with arbitrary spin-orbit quantum number {\kappa}. In the presence of spin and…

Quantum Physics · Physics 2011-10-07 Sameer M. Ikhdair

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 solvability of The Dirac equation is studied for the exponential-type potentials with the pseudospin symmetry by using the parametric generalization of the Nikiforov-Uvarov method. The energy eigenvalue equation, and the corresponding…

Quantum Physics · Physics 2015-05-14 Altug Arda , Ramazan Sever , Cevdet Tezcan

Dirac equation is solved for some exponential potentials, hypergeometric-type potential, generalized Morse potential and Poschl-Teller potential with any spin-orbit quantum number $\kappa$ in the case of spin and pseudospin symmetry,…

Mathematical Physics · Physics 2010-03-05 Altug Arda , Ramazan Sever , Cevdet Tezcan

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

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

Approximate analytical solutions of the Dirac equation are obtained for the Hellmann potential, Wei Hua potential and Varshni potential with any $\kappa$-value for the cases having the Dirac equation pseudospin and spin symmetries. Closed…

Mathematical Physics · Physics 2015-06-19 Altug Arda , 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

Using an approximation scheme to deal with the centrifugal (pseudo-centrifugal) term, we solve the Dirac equation with the screened Coulomb (Yukawa) potential for any arbitrary spin-orbit quantum number {\kappa}. Based on the spin and…

Quantum Physics · Physics 2012-04-03 Sameer M. Ikhdair

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

We show that the conditions which originate the spin and pseudospin symmetries in the Dirac equation are the same that produce equivalent energy spectra of relativistic spin-1/2 and spin-0 particles in the presence of vector and scalar…

Nuclear Theory · Physics 2008-11-26 P. Alberto , A. S. de Castro , M. Malheiro

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

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

Out of the four bound-state solutions presented in loc. cit., only one (viz., the spin-symmetric one, in the low-mass regime) is shown compatible with the physical boundary conditions. We clarify the problem, correct the method and offer…

Mathematical Physics · Physics 2007-05-23 H. Bila , V. Jakubsky , M. Znojil

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

The Nikiforov-Uvarov polynomial method employed by Aguda to solve the Dirac equation with an improved Rosen-Morse potential plus a Coulomb-like tensor potential is shown inappropriate because the conditions of its application are not…

Quantum Physics · Physics 2019-10-23 S. Bouledjedj , A. Khodja , F. Benamira , L. Guechi

In recent years, an extensive survey on various wave equations of relativistic quantum mechanics with different types of potential interactions has been a line of great interest. In this regime, special attention has been given to the Dirac…

Quantum Physics · Physics 2014-02-11 K. J Oyewumi , B. J. Falaye , C. A. Onate , O. J. Oluwadare , W. A Yahya

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
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