Relativistic Double Barrier Problem with Three Transmission Resonance Regions
We obtain exact scattering solutions of the Dirac equation in 1 + 1 dimensions for a double square barrier vector potential. The potential bottom between the two barriers is chosen to be higher than 2mc2, whereas the top of the barriers is at least 2mc2 above the bottom. The relativistic version of...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2012/762908 |
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| author | A. D. Alhaidari H. Bahlouli A. Jellal |
| author_facet | A. D. Alhaidari H. Bahlouli A. Jellal |
| author_sort | A. D. Alhaidari |
| collection | DOAJ |
| description | We obtain exact scattering solutions of the Dirac equation in 1 + 1 dimensions for a double square barrier vector potential. The potential bottom between the two barriers is chosen to be higher than 2mc2, whereas the top of the barriers is at least 2mc2 above the bottom. The relativistic version of the conventional double barrier transmission resonances is obtained for energies within ±mc2 from the height of the barriers. However, due to our judicious choice of potential configuration we also find two more (subbarrier) transmission resonance regions below the conventional one. Both are located within the two Klein energy zones and characterized by resonances that are broader than the conventional ones. The design of our double barrier so as to enable us to establish these two new subbarrier transmission resonance regions is our main finding. |
| format | Article |
| id | doaj-art-c09828b87c744e5caf11b6683e46b600 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-c09828b87c744e5caf11b6683e46b6002025-02-03T05:49:33ZengWileyAdvances in Mathematical Physics1687-91201687-91392012-01-01201210.1155/2012/762908762908Relativistic Double Barrier Problem with Three Transmission Resonance RegionsA. D. Alhaidari0H. Bahlouli1A. Jellal2Saudi Center for Theoretical Physics, Dhahran, Saudi ArabiaSaudi Center for Theoretical Physics, Dhahran, Saudi ArabiaSaudi Center for Theoretical Physics, Dhahran, Saudi ArabiaWe obtain exact scattering solutions of the Dirac equation in 1 + 1 dimensions for a double square barrier vector potential. The potential bottom between the two barriers is chosen to be higher than 2mc2, whereas the top of the barriers is at least 2mc2 above the bottom. The relativistic version of the conventional double barrier transmission resonances is obtained for energies within ±mc2 from the height of the barriers. However, due to our judicious choice of potential configuration we also find two more (subbarrier) transmission resonance regions below the conventional one. Both are located within the two Klein energy zones and characterized by resonances that are broader than the conventional ones. The design of our double barrier so as to enable us to establish these two new subbarrier transmission resonance regions is our main finding.http://dx.doi.org/10.1155/2012/762908 |
| spellingShingle | A. D. Alhaidari H. Bahlouli A. Jellal Relativistic Double Barrier Problem with Three Transmission Resonance Regions Advances in Mathematical Physics |
| title | Relativistic Double Barrier Problem with Three Transmission Resonance Regions |
| title_full | Relativistic Double Barrier Problem with Three Transmission Resonance Regions |
| title_fullStr | Relativistic Double Barrier Problem with Three Transmission Resonance Regions |
| title_full_unstemmed | Relativistic Double Barrier Problem with Three Transmission Resonance Regions |
| title_short | Relativistic Double Barrier Problem with Three Transmission Resonance Regions |
| title_sort | relativistic double barrier problem with three transmission resonance regions |
| url | http://dx.doi.org/10.1155/2012/762908 |
| work_keys_str_mv | AT adalhaidari relativisticdoublebarrierproblemwiththreetransmissionresonanceregions AT hbahlouli relativisticdoublebarrierproblemwiththreetransmissionresonanceregions AT ajellal relativisticdoublebarrierproblemwiththreetransmissionresonanceregions |