具有三个子势垒透射共振区的相对论双势垒问题
Relativistic Double Barrier Problem with Three Sub-Barrier Transmission Resonance Regions
摘要:
我们得到了1+1维双方势垒矢量势Dirac方程的精确散射解。两个势垒之间的电位下限高于2mc^2,而势垒顶部至少高于下限2mc^2。传统双势垒透射共振的相对论版本是从势垒高度的+或- mc^2内的能量获得的。然而,我们也发现两个以上的(子势垒)传输谐振区低于传统的。两者都位于两个克莱因能量区,其特征是共振比传统的更广泛。
英文摘要:
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 2mc^2 whereas the top of the barriers is at least 2mc^2 above the floor. The relativistic version of the conventional double barrier transmission resonance is obtained for energies within + or - mc^2 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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