Approximate analytical solutions of the Klein-Gordon equation for the Hulthen potential with the position-dependent mass

Date

2009-01-01

Author

Arda, Altug
Sever, Ramazan
TEZCAN, CEVDET

Metadata

Show full item record

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

Item Usage Stats

181
views

0
downloads

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 obtained in the literature.

Subject Keywords

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

URI

https://hdl.handle.net/11511/62805

Journal

PHYSICA SCRIPTA

DOI

https://doi.org/10.1088/0031-8949/79/01/015006

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.
Solution of the Dirac equation for pseudoharmonic potential by using the Nikiforov-Uvarov method Aydogdu, Oktay; Sever, Ramazan (IOP Publishing, 2009-07-01) We investigate the energy spectra and corresponding wave functions of the Dirac equation for pseudoharmonic potential with spin and pseudospin symmetry. To obtain an analytical solution of the Dirac equation, we consider the Nikiforov-Uvarov method in the calculations. For any spin-orbit coupling term kappa, we find the closed forms of the energy eigenvalues and also obtain the radial wave functions in the spin and pseudospin symmetry limits.
An algebraic method for the analytical solutions of the Klein-Gordon equation for any angular momentum for some diatomic potentials Akçay, Hüseyin; Sever, Ramazan (IOP Publishing, 2014-01-01) Analytical solutions of the Klein-Gordon equation are obtained by reducing the radial part of the wave equation to a standard form of a second-order differential equation. Differential equations of this standard form are solvable in terms of hypergeometric functions and we give an algebraic formulation for the bound state wave functions and for the energy eigenvalues. This formulation is applied for the solutions of the Klein-Gordon equation with some diatomic potentials.
Any l-state improved quasi-exact analytical solutions of the spatially dependent mass Klein-Gordon equation for the scalar and vector Hulthen potentials IKHDAİR, SAMEER; Sever, Ramazan (IOP Publishing, 2009-03-01) 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 pa...
Scattering and bound state solutions of the asymmetric Hulthen potential Arda, Altug; AYDOĞDU, OKTAY; Sever, Ramazan (IOP Publishing, 2011-08-01) The one-dimensional time-independent Schrodinger equation is solved for the asymmetric Hulthen potential. The reflection and transmission coefficients and bound state solutions are obtained in terms of the hypergeometric functions. It is observed that the unitary condition is satisfied in the non-relativistic region.

Citation Formats

A. Arda, R. Sever, and C. TEZCAN, “Approximate analytical solutions of the Klein-Gordon equation for the Hulthen potential with the position-dependent mass,” PHYSICA SCRIPTA, pp. 0–0, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62805.