The Scattering and Bound States of the Schrödinger Particle in Generalized Asymmetric Manning-Rosen Type Potential
We solve exactly one-dimensional Schrödinger equation for the generalized asymmetric Manning-Rosen (GAMAR) type potential containing the different types of physical potential that have many application fields in the nonrelativistic quantum mechanics and obtain the solutions in terms of the Gauss hyp...
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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/10.1155/2014/619241 |
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| _version_ | 1849402080613105664 |
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| author | Ahmet Taş Soner Alpdoğan Ali Havare |
| author_facet | Ahmet Taş Soner Alpdoğan Ali Havare |
| author_sort | Ahmet Taş |
| collection | DOAJ |
| description | We solve exactly one-dimensional Schrödinger equation for the generalized asymmetric Manning-Rosen (GAMAR) type potential containing the different types of physical potential that have many application fields in the nonrelativistic quantum mechanics and obtain the solutions in terms of the Gauss hypergeometric functions. Then we determine the solutions for scattering and bound states. By using these states we calculate the reflection and transmission coefficients for scattering states and achieve a correlation that gives the energy eigenvalues for
the bound states. In addition to these, we show how the transmission and reflection coefficients depend on the parameters which describe shape of the GAMAR type potential and compare our results with the results obtained in earlier studies. |
| format | Article |
| id | doaj-art-83fe77cc3da940c0bbf7ead98f2566af |
| 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-83fe77cc3da940c0bbf7ead98f2566af2025-08-20T03:37:38ZengWileyAdvances in High Energy Physics1687-73571687-73652014-01-01201410.1155/2014/619241619241The Scattering and Bound States of the Schrödinger Particle in Generalized Asymmetric Manning-Rosen Type PotentialAhmet Taş0Soner Alpdoğan1Ali Havare2Department of Physics, Mersin University, 33343 Mersin, TurkeyDepartment of Physics, Mersin University, 33343 Mersin, TurkeyDepartment of Physics, Mersin University, 33343 Mersin, TurkeyWe solve exactly one-dimensional Schrödinger equation for the generalized asymmetric Manning-Rosen (GAMAR) type potential containing the different types of physical potential that have many application fields in the nonrelativistic quantum mechanics and obtain the solutions in terms of the Gauss hypergeometric functions. Then we determine the solutions for scattering and bound states. By using these states we calculate the reflection and transmission coefficients for scattering states and achieve a correlation that gives the energy eigenvalues for the bound states. In addition to these, we show how the transmission and reflection coefficients depend on the parameters which describe shape of the GAMAR type potential and compare our results with the results obtained in earlier studies.http://dx.doi.org/10.1155/2014/619241 |
| spellingShingle | Ahmet Taş Soner Alpdoğan Ali Havare The Scattering and Bound States of the Schrödinger Particle in Generalized Asymmetric Manning-Rosen Type Potential Advances in High Energy Physics |
| title | The Scattering and Bound States of the Schrödinger Particle in Generalized Asymmetric Manning-Rosen Type Potential |
| title_full | The Scattering and Bound States of the Schrödinger Particle in Generalized Asymmetric Manning-Rosen Type Potential |
| title_fullStr | The Scattering and Bound States of the Schrödinger Particle in Generalized Asymmetric Manning-Rosen Type Potential |
| title_full_unstemmed | The Scattering and Bound States of the Schrödinger Particle in Generalized Asymmetric Manning-Rosen Type Potential |
| title_short | The Scattering and Bound States of the Schrödinger Particle in Generalized Asymmetric Manning-Rosen Type Potential |
| title_sort | scattering and bound states of the schrodinger particle in generalized asymmetric manning rosen type potential |
| url | http://dx.doi.org/10.1155/2014/619241 |
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