| Relativistic symmetries with the trigonometric Pschl-Teller potential plus Coulomb-like tensor interaction |
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| 引用本文： | Babatunde J. Falaye,Sameer M. Ikhdair. Relativistic symmetries with the trigonometric Pschl-Teller potential plus Coulomb-like tensor interaction[J]. 中国物理 B, 2013, 22(6): 60305-060305. DOI: 10.1088/1674-1056/22/6/060305 |
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| 作者姓名： | Babatunde J. Falaye Sameer M. Ikhdair |
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| 作者单位： | a Theoretical Physics Section, Department of Physics, University of Ilorin, P. M. B. 1515, Ilorin, Nigeria;b Physics Department, Near East University, 922022 Nicosia, Northern Cyprus, Turkey;c Physics Department, Faculty of Science, An-Najah National University, Nablus, West Bank, Palestine |
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| 摘 要： | The Dirac equation is solved to obtain its approximate bound states for a spin-1/2 particle in the presence of trigonometric Pschl-Teller(tPT) potential including a Coulomb-like tensor interaction with arbitrary spin-orbit quantum number κ using an approximation scheme to substitute the centrifugal terms κ(κ± 1)r-2.In view of spin and pseudo-spin(p-spin) symmetries,the relativistic energy eigenvalues and the corresponding two-component wave functions of a particle moving in the field of attractive and repulsive tPT potentials are obtained using the asymptotic iteration method(AIM).We present numerical results in the absence and presence of tensor coupling A and for various values of spin and p-spin constants and quantum numbers n and κ.The non-relativistic limit is also obtained.
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| 关 键 词： | Dirac equation trigonometric Pö schl-Teller potential tensor interaction approximation schemes asymptotic iteration method |
| 收稿时间： | 2012-11-18 |
Relativistic symmetries with the trigonometric Pöschl-Teller potential plus Coulomb-like tensor interaction |
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| Babatunde J.Falaye,Sameer M.Ikhdair. Relativistic symmetries with the trigonometric Pöschl-Teller potential plus Coulomb-like tensor interaction[J]. Chinese Physics B, 2013, 22(6): 60305-060305. DOI: 10.1088/1674-1056/22/6/060305 |
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| Authors: | Babatunde J.Falaye Sameer M.Ikhdair |
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| Affiliation: | a Theoretical Physics Section, Department of Physics, University of Ilorin, P. M. B. 1515, Ilorin, Nigeria;b Physics Department, Near East University, 922022 Nicosia, Northern Cyprus, Turkey;c Physics Department, Faculty of Science, An-Najah National University, Nablus, West Bank, Palestine |
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| Abstract: | The Dirac equation is solved to obtain its approximate bound states for a spin-1/2 particle in the presence of trigonometric Pöschl-Teller (tPT) potential including a Coulomb-like tensor interaction with arbitrary spin-orbit quantum number κ using an approximation scheme to substitute the centrifugal terms κ(κ± 1)r-2. In view of spin and pseudo-spin (p-spin) symmetries, the relativistic energy eigenvalues and the corresponding two-component wave functions of a particle moving in the field of attractive and repulsive tPT potentials are obtained using the asymptotic iteration method (AIM). We present numerical results in the absence and presence of tensor coupling A and for various values of spin and p-spin constants and quantum numbers n and κ. The non-relativistic limit is also obtained. |
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| Keywords: | Dirac equation trigonometric Pöschl-Teller potential tensor interaction approximation schemes asymptotic iteration method |
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