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Article overview
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Lower Bound on Quantum Tunneling for Strong Magnetic Fields | | Charles L. Fefferman
; Jacob Shapiro
; Michael I. Weinstein
; | | Date: |
14 Jun 2020 | | Abstract: | 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. | | Source: | arXiv, 2006.8025 | | Services: | Forum | Review | PDF | Favorites | |
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