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. This lecture is partially supported by the COST action Mathematical models for interacting dynamics on networks.


Show 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).]

Video of the talk

Liza Schonlau | 10.05.2024