Abstract
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 2mc 2, whereas the top of the barriers is at least 2mc 2 above the bottom. The relativistic version of the conventional double barrier transmission resonances is obtained for energies within mc 2 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.
| Original language | English |
|---|---|
| Article number | 762908 |
| Journal | Advances in Mathematical Physics |
| DOIs | |
| State | Published - 2012 |
ASJC Scopus subject areas
- General Physics and Astronomy
- Applied Mathematics