Relativistic Double Barrier Problem with Three Sub-Barrier Transmission Resonance Regions
Abstract
We obtain exact scattering solutions of the Dirac equation in 1+1 dimensions for a double square barrier vector potential. The potential floor between the two barriers is higher than 2mc2 whereas the top of the barriers is at least 2mc2 above the floor. The relativistic version of the conventional double barrier transmission resonance is obtained for energies within + or - mc2 from the height of the barriers. However, we also find two more (sub-barrier) 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.
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