论文标题
强磁场的量子隧穿下方
Lower Bound on Quantum Tunneling for Strong Magnetic Fields
论文作者
论文摘要
我们考虑与二维平面结合的粒子和双井电位，但要受垂直均匀磁场的影响。最低两个特征值（特征值分裂）之间的能量差与两个井之间的隧道概率有关。在磁场强度和孔深度都大的磁场强度和深度都大的情况下，我们在这种分裂上获得了上限和下限。主要步骤是井之间的跳跃概率，这是固态物理的紧密结合模型中的关键参数。
We consider a particle bound to a two-dimensional plane and a double well potential, subject to a perpendicular uniform magnetic field . The energy difference between the lowest two eigenvalues--the eigenvalue splitting--is related to the tunneling probability between the two wells. We obtain upper and lower bounds on this splitting in the regime where both the magnetic field strength and the depth of the wells are large. The main step is a lower bound on the hopping probability between the wells, a key parameter in tight binding models of solid state physics.
