Exact Solutions of a Spatially Dependent Mass Dirac Equation for Coulomb Field plus Tensor Interaction via Laplace Transformation Method
The spatially dependent mass Dirac equation is solved exactly for attractive scalar and repulsive vector Coulomb potentials including a tensor interaction potential under the spin and pseudospin (p-spin) symmetric limits by using the Laplace transformation method (LTM). Closed forms of the energy ei...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2012/873619 |
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| author | M. Eshghi M. Hamzavi S. M. Ikhdair |
| author_facet | M. Eshghi M. Hamzavi S. M. Ikhdair |
| author_sort | M. Eshghi |
| collection | DOAJ |
| description | The spatially dependent mass Dirac equation is solved exactly for attractive scalar and repulsive vector Coulomb potentials including a tensor interaction potential under the spin and pseudospin (p-spin) symmetric limits by using the Laplace transformation method (LTM). Closed forms of the energy eigenvalue equation and wave functions are obtained for arbitrary spin-orbit quantum number
κ
. Some numerical results are given too. The effect of the tensor interaction on the bound states is presented. It is shown that the tensor interaction removes the degeneracy between two states in the spin doublets. We also investigate the effects of the spatially-dependent mass on the bound states under the conditions of the spin symmetric limit and in the absence of tensor interaction
(
T
=
0
)
. |
| format | Article |
| id | doaj-art-a517f00f7488446bb37978e4607eb515 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-a517f00f7488446bb37978e4607eb5152025-02-03T06:01:31ZengWileyAdvances in High Energy Physics1687-73571687-73652012-01-01201210.1155/2012/873619873619Exact Solutions of a Spatially Dependent Mass Dirac Equation for Coulomb Field plus Tensor Interaction via Laplace Transformation MethodM. Eshghi0M. Hamzavi1S. M. Ikhdair2Physics Department, Imam Hossein Comprehensive University, Tehran, IranDepartment of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, IranPhysics Department, Near East University, 922022 Nicosia, Northern Cyprus, TurkeyThe spatially dependent mass Dirac equation is solved exactly for attractive scalar and repulsive vector Coulomb potentials including a tensor interaction potential under the spin and pseudospin (p-spin) symmetric limits by using the Laplace transformation method (LTM). Closed forms of the energy eigenvalue equation and wave functions are obtained for arbitrary spin-orbit quantum number κ . Some numerical results are given too. The effect of the tensor interaction on the bound states is presented. It is shown that the tensor interaction removes the degeneracy between two states in the spin doublets. We also investigate the effects of the spatially-dependent mass on the bound states under the conditions of the spin symmetric limit and in the absence of tensor interaction ( T = 0 ) .http://dx.doi.org/10.1155/2012/873619 |
| spellingShingle | M. Eshghi M. Hamzavi S. M. Ikhdair Exact Solutions of a Spatially Dependent Mass Dirac Equation for Coulomb Field plus Tensor Interaction via Laplace Transformation Method Advances in High Energy Physics |
| title | Exact Solutions of a Spatially Dependent Mass Dirac Equation for Coulomb Field plus Tensor Interaction via Laplace Transformation Method |
| title_full | Exact Solutions of a Spatially Dependent Mass Dirac Equation for Coulomb Field plus Tensor Interaction via Laplace Transformation Method |
| title_fullStr | Exact Solutions of a Spatially Dependent Mass Dirac Equation for Coulomb Field plus Tensor Interaction via Laplace Transformation Method |
| title_full_unstemmed | Exact Solutions of a Spatially Dependent Mass Dirac Equation for Coulomb Field plus Tensor Interaction via Laplace Transformation Method |
| title_short | Exact Solutions of a Spatially Dependent Mass Dirac Equation for Coulomb Field plus Tensor Interaction via Laplace Transformation Method |
| title_sort | exact solutions of a spatially dependent mass dirac equation for coulomb field plus tensor interaction via laplace transformation method |
| url | http://dx.doi.org/10.1155/2012/873619 |
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