Approximate Analytical Solutions of the Effective Mass Dirac Equation for the generalized Hulthen Potential with any kappa-Value
| Autor: | Ramazan Sever, Altug Arda, Cevdet Tezcan |
|---|---|
| Rok vydání: | 2010 |
| Předmět: |
Physics
Quantum Physics Kappa value nikiforov-uvarov method Differential equation QC1-999 Coordinate system General Physics and Astronomy FOS: Physical sciences position-dependent mass Quantum number symbols.namesake Effective mass (solid-state physics) dirac equation Dirac equation symbols Mathematics::Mathematical Physics Wave function Quantum Physics (quant-ph) Eigenvalues and eigenvectors Mathematical physics generalized hulthén potential |
| Zdroj: | Open Physics, Vol 8, Iss 5, Pp 843-849 (2010) |
| DOI: | 10.48550/arxiv.1006.1250 |
| Popis: | The Dirac equation, with position-dependent mass, is solved approximately for the generalized Hulth\'{e}n potential with any spin-orbit quantum number $\kappa$. Solutions are obtained by using an appropriate coordinate transformation, reducing the effective mass Dirac equation to a Schr\"{o}dinger-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. Comment: 13 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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