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