4 papers
Magnetic Double-Wells: Lower Bounds on Tunneling
Charles L. Fefferman, Jacob Shapiro, Michael I. Weinstein
We study double-well systems with strong magnetic fields and deep potential wells. We present lower bounds on tunneling rates for generic values of the coupling constant. This resu…
Magnetic Double-Wells: Absence of Tunneling
Charles L. Fefferman, Jacob Shapiro, Michael I. Weinstein
We present a magnetic double-well Hamiltonian where the tunneling between the two wells vanishes, as recently announced.
Lower Bounds on Quantum Tunneling for Excited States
Charles L. Fefferman, Jacob Shapiro, Michael I. Weinstein
We revisit the problem of quantum tunneling for a particle moving in the continuum, and in the absence of a magnetic field. In all spatial dimensions, we extend previous results to…
Quantum tunneling and its absence in deep wells and strong magnetic fields
Charles L. Fefferman, Jacob Shapiro, Michael I. Weinstein
We present new results on quantum tunneling between deep potential wells, in the presence of a strong constant magnetic field. We construct a family of double well potentials conta…