Talk by Ayman Kachmar
On December 14th, 2022, Prof. Dr. Ayman Kachmar (The Lebanese University in Beirut, Lebanon) gave a talk about "Quantum tunneling in deep potential wells and strong magnetic field revisited" as part of the research seminar Analysis of the FernUniversität in Hagen.
Abstract
This talk is on a joint work with B. Helffer. Inspired by a recent paper* by C. Fefferman, J. Shapiro and M. Weinstein, we investigate quantum tunneling for a Hamiltonian with a symmetric double well and a uniform magnetic field. In the simultaneous limit of strong magnetic field and deep potential wells with disjoint supports, tunneling occurs and we derive accurate estimates of its magnitude.
*[Lower bound on quantum tunneling for strong magnetic fields.
SIAM J. Math. Anal. 54(1), 1105-1130 (2022).]