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

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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

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, vol. 79, no. 1, pp. 0–0, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62805.