Dirac Particle for the Position Dependent Mass in the Generalized Asymmetric Woods-Saxon Potential
The one-dimensional Dirac equation with position dependent mass in the generalized asymmetric Woods-Saxon potential is solved in terms of the hypergeometric functions. The transmission and reflection coefficients are obtained by considering the one-dimensional electric current density for the Dirac...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/973847 |
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| author | Soner Alpdoğan Ali Havare |
| author_facet | Soner Alpdoğan Ali Havare |
| author_sort | Soner Alpdoğan |
| collection | DOAJ |
| description | The one-dimensional Dirac equation with position dependent mass in the generalized asymmetric Woods-Saxon potential is solved in terms of the hypergeometric functions. The transmission and reflection coefficients are obtained by considering the one-dimensional electric current density for the Dirac particle and the equation describing the bound states is found by utilizing the continuity conditions of the obtained wave function. Also, by using the generalized asymmetric Woods-Saxon potential solutions, the scattering states are found out without making calculation for the Woods-Saxon, Hulthen, cusp potentials, and so forth, which are derived from the generalized asymmetric Woods-Saxon potential and the conditions describing transmission resonances and supercriticality are achieved. At the same time, the data obtained in this work are compared with the results achieved in earlier studies and are observed to be consistent. |
| format | Article |
| id | doaj-art-00dd6a4dcba1485bbef83a6af6c1c7c8 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-00dd6a4dcba1485bbef83a6af6c1c7c82025-02-03T00:59:04ZengWileyAdvances in High Energy Physics1687-73571687-73652014-01-01201410.1155/2014/973847973847Dirac Particle for the Position Dependent Mass in the Generalized Asymmetric Woods-Saxon PotentialSoner Alpdoğan0Ali Havare1Department of Physics, Mersin University, 33343 Mersin, TurkeyDepartment of Physics, Mersin University, 33343 Mersin, TurkeyThe one-dimensional Dirac equation with position dependent mass in the generalized asymmetric Woods-Saxon potential is solved in terms of the hypergeometric functions. The transmission and reflection coefficients are obtained by considering the one-dimensional electric current density for the Dirac particle and the equation describing the bound states is found by utilizing the continuity conditions of the obtained wave function. Also, by using the generalized asymmetric Woods-Saxon potential solutions, the scattering states are found out without making calculation for the Woods-Saxon, Hulthen, cusp potentials, and so forth, which are derived from the generalized asymmetric Woods-Saxon potential and the conditions describing transmission resonances and supercriticality are achieved. At the same time, the data obtained in this work are compared with the results achieved in earlier studies and are observed to be consistent.http://dx.doi.org/10.1155/2014/973847 |
| spellingShingle | Soner Alpdoğan Ali Havare Dirac Particle for the Position Dependent Mass in the Generalized Asymmetric Woods-Saxon Potential Advances in High Energy Physics |
| title | Dirac Particle for the Position Dependent Mass in the Generalized Asymmetric Woods-Saxon Potential |
| title_full | Dirac Particle for the Position Dependent Mass in the Generalized Asymmetric Woods-Saxon Potential |
| title_fullStr | Dirac Particle for the Position Dependent Mass in the Generalized Asymmetric Woods-Saxon Potential |
| title_full_unstemmed | Dirac Particle for the Position Dependent Mass in the Generalized Asymmetric Woods-Saxon Potential |
| title_short | Dirac Particle for the Position Dependent Mass in the Generalized Asymmetric Woods-Saxon Potential |
| title_sort | dirac particle for the position dependent mass in the generalized asymmetric woods saxon potential |
| url | http://dx.doi.org/10.1155/2014/973847 |
| work_keys_str_mv | AT soneralpdogan diracparticleforthepositiondependentmassinthegeneralizedasymmetricwoodssaxonpotential AT alihavare diracparticleforthepositiondependentmassinthegeneralizedasymmetricwoodssaxonpotential |