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math-ph2025
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…
math-ph2025
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.
math-ph2025
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…