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Approximate bound state solutions of the Dirac equation with the Hulth\'en plus a new generalized ring-shaped (RS) potential are obtained for any arbitrary -state. The energy eigenvalue equation and the corresponding two-component wave…

量子物理 · 物理学 2013-08-01 Sameer M. Ikhdair , Majid Hamzavi

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…

核理论 · 物理学 2009-11-11 Cuneyt Berkdemir , Ayse Berkdemir , Ramazan Sever

The radial part of the Klein-Gordon equation for the Woods-Saxon potential is solved. In our calculations, we have applied the Nikiforov-Uvarov method by using the Pekeris approximation to the centrifugal potential for any $l$ states. The…

数学物理 · 物理学 2015-05-14 V. H. Badalov , H. I. Ahmadov , S. V. Badalov

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…

量子物理 · 物理学 2015-05-13 Sameer M. Ikhdair , Ramazan Sever

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

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

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…

数学物理 · 物理学 2015-05-13 V. H. Badalov , H. I. Ahmadov , A. I. Ahmadov

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…

数学物理 · 物理学 2011-11-22 V. H. Badalov , H. I. Ahmadov

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 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

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…

核理论 · 物理学 2026-05-01 V. H. Badalov , B. Baris , K. Uzun

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…

量子物理 · 物理学 2018-01-22 V. H. Badalov

In this paper, the bound state solution of the modified Klein-Fock-Gordon equation is obtained for the Hulth\'en plus ring-shaped lake potential by using the developed scheme to overcome the centrifugal part. The energy eigenvalues and…

量子物理 · 物理学 2019-01-09 A. I. Ahmadov , Sh. M. Nagiyev , M. V. Qocayeva , K. Uzun , V. A. Tarverdiyeva

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 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)=-%…

量子物理 · 物理学 2008-07-15 Sameer M. Ikhdair , Ramazan Sever

The analytical expressions for the eigenvalues and eigenvectors of the Klein-Gordon equation for q-deformed Woods-Saxon plus new generalized ring shape potential are derived within the asymptotic iteration method. The obtained eigenvalues…

量子物理 · 物理学 2012-04-10 M. Chabab , A. Lahbas , M. Oulne

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…

量子物理 · 物理学 2021-06-11 A Suparmi , J Akbar , C Cari

The bound state energy eigenvalues and the corresponding eigenfunctions of the generalized Woods-Saxon potential reported in [Phys. Rev. C 72, 027001 (2005)] is extended to the fractional forms using the generalized fractional derivative…

量子物理 · 物理学 2023-03-28 M. Abu-Shady , Etido P. Inyang

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})…

量子物理 · 物理学 2008-07-15 Sameer M. Ikhdair , Ramazan Sever

The radial part of the Klein-Gordon equation for the generalized Woods-Saxon potential is solved by using the Nikiforov-Uvarov method in the case of spatially dependent mass within the new approximation scheme to the centrifugal potential…

量子物理 · 物理学 2009-09-01 Altug Arda , Ramazan Sever
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