Lower Bound on Quantum Tunneling for Strong Magnetic Fields
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
