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.