QLunch: Bernard Helffer
Speaker: Bernard Helffer, Nantes Université
in collaboration with Ayman Kachmar
Title: Quantum tunneling in deep potential wells and strong magnetic field revisited
Abstract: Inspired by a recent paper by Charles Fefferman, Jakob Shapiro and Michael 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.