Quantum Tunneling and Its Absence in Deep Wells and Strong Magnetic Fields

Explore groundbreaking research findings on quantum tunneling phenomena in a physics seminar that delves into the behavior of deep potential wells under strong constant magnetic fields. Learn about a newly discovered family of double well potentials where low-energy eigenvalue splitting can completely vanish, effectively eliminating quantum tunneling. Understand how deforming within this potential family can trigger transitions in magnetic ground states from symmetric to anti-symmetric configurations. Examine cases of generic double wells where tunneling persists, accompanied by mathematical proofs establishing lower bounds for eigenvalue splitting. Gain insights from collaborative research conducted with Fefferman and Weinstein, presented through detailed mathematical and physical analysis of quantum mechanical systems under magnetic influence.