Approximate analytical solutions of the effective mass Dirac equation for the generalized Hulthén potential with any κ-value

• Authors: Altuğ Arda , Ramazan Sever , Cevdet Tezcan
• Languages of publication: EN

Abstracts

EN

The Dirac equation, with position-dependent mass, is solved approximately for the generalized Hulthén potential with any spin-orbit quantum number κ. Solutions are obtained by using an appropriate coordinate transformation, reducing the effective mass Dirac equation to a Schrödinger-like differential equation. The Nikiforov-Uvarov method is used in the calculations to obtain energy eigenvalues and the corresponding wave functions. Numerical results are compared with those given in the literature. Analytical results are also obtained for the case of constant mass and the results are in good agreement with the literature.

Keywords

EN

generalized Hulthén potential; Dirac equation; position-dependent mass; Nikiforov-Uvarov method

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2010
• Volume: 8
• Issue: 5
• Pages: 843-849

Dates

published

1 - 10 - 2010

online

22 - 7 - 2010

Contributors

author

Altuğ Arda

• Department of Physics Education, Hacettepe University, 06800, Ankara, Turkey

author

Ramazan Sever

• Department of Physics, Middle East Technical University, 06800, Ankara, Turkey

author

Cevdet Tezcan

• Faculty of Engineering, Başkent University, Baglıca Campus, Ankara, Turkey

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Identifiers

DOI

10.2478/s11534-009-0163-0