Any l-state improved quasi-exact analytical solutions of the spatially dependent mass Klein-Gordon equation for the scalar and vector Hulthen potentials

Download

index.pdf

Date

2009-03-01

Author

IKHDAİR, SAMEER
Sever, Ramazan

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

102
views

0
downloads

We present a new approximation scheme for the centrifugal term to obtain a quasi-exact analytical bound state solution within the framework of the position-dependent effective mass radial Klein-Gordon equation with the scalar and vector Hulthen potentials in any arbitrary D dimension and orbital angular momentum quantum numbers l. The Nikiforov-Uvarov (NU) method is used in the calculations. The relativistic real energy levels and corresponding eigenfunctions for the bound states with different screening parameters have been given in a closed form. It is found that the solutions in the case of constant mass and in the case of s-wave (l = 0) are identical with the ones obtained in the literature.

Subject Keywords

Mathematical Physics, Atomic and Molecular Physics, and Optics, Condensed Matter Physics

URI

https://hdl.handle.net/11511/62488

Journal

PHYSICA SCRIPTA

DOI

https://doi.org/10.1088/0031-8949/79/03/035002

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

The Dirac-Yukawa problem in view of pseudospin symmetry AYDOĞDU, OKTAY; Sever, Ramazan (IOP Publishing, 2011-08-01) An approximate analytical solution of the Dirac equation for the Yukawa potential under the pseudospin symmetry condition is obtained using the asymptotic iteration method. We discover the energy eigenvalue equation and some of the numerical results are listed. Wave functions are obtained in terms of hypergeometric functions. Extra degeneracies are removed by adding a new term, A/r(2), to the Yukawa potential. The effects of tensor interaction on the two states in the pseudospin doublet are also investigated.
Covariant Bethe-Salpeter equation for heavy Q(Q)over-bar bound states Zakout, I; Sever, Ramazan (IOP Publishing, 1997-02-01) We investigate a numerical solution of the covariant Bethe-Salpeter equation in the Euclidean space for heavy meson with gluon ladder in the Landau gauge and scalar confinement. A new approach is presented to solve the non-linear eigenvalue problem with suitable bases and fictitious eigenvalue parameters. We obtain unphysical states when the equation is solved for timelike spectra. We also present how to cover the singularity of a free quark propagator and Schwinger-Dyson equation when extrapolated to the ...
Coherent states for PT-/non-PT-symmetric and non-Hermitian Morse potentials via the path integral method KANDIRMAZ, NALAN; Sever, Ramazan (IOP Publishing, 2010-03-01) We discuss the coherent states for PT-/non-PT-symmetric and non-Hermitian generalized Morse potentials obtained by using path integral formalism over the holomorphic coordinates. We transform the action of generalized Morse potentials into two harmonic oscillators with a new parametric time to establish the parametric time coherent states. We calculate the energy eigenvalues and the corresponding wave functions in parabolic coordinates.
Exact Pseudospin Symmetric Solution of the Dirac Equation for Pseudoharmonic Potential in the Presence of Tensor Potential AYDOĞDU, OKTAY; Sever, Ramazan (Springer Science and Business Media LLC, 2010-04-01) Under the pseudospin symmetry, we obtain exact solution of the Dirac equation for the pseudoharmonic potential in the presence of the tensor potential with arbitrary spin-orbit coupling quantum number kappa. The energy eigenvalue equation of the Dirac particles is found and the corresponding radial wave functions are presented in terms of confluent hypergeometric functions. We investigate the tensor potential dependence of the energy of the each state in the pseudospin doublet. It is shown that degeneracy b...
Approximate analytical solutions of the Klein-Gordon equation for the Hulthen potential with the position-dependent mass Arda, Altug; Sever, Ramazan; TEZCAN, CEVDET (IOP Publishing, 2009-01-01) The Klein-Gordon equation is solved approximately for the Hulthen potential for any angular momentum quantum number l with the position-dependent mass. Solutions are obtained by reducing the Klein-Gordon equation into a Schrodinger-like differential equation using an appropriate coordinate transformation. The Nikiforov-Uvarov method is used in the calculations to get energy eigenvalues and the wavefunctions. It is found that the results in the case of constant mass are in good agreement with the ones obtain...

Citation Formats

S. IKHDAİR and R. Sever, “Any l-state improved quasi-exact analytical solutions of the spatially dependent mass Klein-Gordon equation for the scalar and vector Hulthen potentials,” PHYSICA SCRIPTA, pp. 0–0, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62488.