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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,…

数学物理 · 物理学 2010-03-05 Altug Arda , Ramazan Sever , Cevdet Tezcan

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…

数学物理 · 物理学 2015-05-20 D. Agboola

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…

量子物理 · 物理学 2012-10-05 Sameer M. Ikhdair , Majid Hamzavi

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…

核理论 · 物理学 2021-01-05 J. Akbar , A. Suparmi , C. Cari

We obtain exact solutions to the two-dimensional (2D) Dirac equation for the one-dimensional P\"oschl-Teller potential which contains an asymmetry term. The eigenfunctions are expressed in terms of Heun confluent functions, while the…

介观与纳米尺度物理 · 物理学 2017-10-10 R. R. Hartmann , M. E. Portnoi

In this study, we solve the Klein-Gordon equation with equal scalar and vector q-deformed hyperbolic modified P\"{o}schl-Teller potential. The explicit expressions of bound state spectra and the normalized eigenfunctions for s-wave bound…

量子物理 · 物理学 2010-08-25 K. J. Oyewumi , T. T. Ibrahim , S. O. Ajibola , D. A. Ajadi

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…

高能物理 - 理论 · 物理学 2009-11-07 A. D. Alhaidari

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…

核理论 · 物理学 2019-03-26 K. O. Suleman , K. J. Oyewumi , L. A. Sunmonu , D. A. Ajadi

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…

量子物理 · 物理学 2015-05-14 Altug Arda , Ramazan Sever , Cevdet Tezcan

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…

量子物理 · 物理学 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…

核理论 · 物理学 2013-08-02 Sameer M. Ikhdair , Majid Hamzavi

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…

量子物理 · 物理学 2016-03-23 A. Ghoumaid , F. Benamira , L. Guechi

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…

量子物理 · 物理学 2011-10-07 Sameer M. Ikhdair

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…

量子物理 · 物理学 2013-08-02 Babatunde J. Falaye , Sameer M. Ikhdair

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…

量子物理 · 物理学 2008-08-08 Sameer M. Ikhdair , Ramazan Sever

Dirac equation for a charged spinor in electromagnetic field is written for special cases of spherically symmetric potentials. This facilitates the introduction of relativistic extensions of shape invariant potential classes. We obtain the…

高能物理 - 理论 · 物理学 2008-11-26 A. D. Alhaidari

Unlike the situation for the 1d Dirac delta derivative Schrodinger pseudo potential (SPP) and the 2d Dirac delta SPP, where the indeterminacy originates from a lack of scale in the first and both a lack of scale as well as the wave function…

量子物理 · 物理学 2024-02-08 Michael Maroun

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…

量子物理 · 物理学 2012-05-17 Sameer M. Ikhdair , Ramazan Sever

A simple algebraic technique is developed to obtain deformed energy spectra for the P\"oschl-Teller potentials.

高能物理 - 理论 · 物理学 2016-08-15 Abilio De Freitas , Sebastián Salamó

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…

量子物理 · 物理学 2015-06-12 Huseyin Akcay , Ramazan Sever
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