Magnetic Double-Wells: Lower Bounds on Tunneling
Mathematical Physics
2025-11-18 v1 Mesoscale and Nanoscale Physics
Analysis of PDEs
Classical Analysis and ODEs
Functional Analysis
math.MP
Abstract
We present lower bounds on tunneling rates in magnetic double well systems for generic values of the coupling constant. This result was recently announced in \cite{FSW24} and complements our recent counter-example construction which exhibits vanishing tunneling for specially-constructed double-well potentials.
Cite
@article{arxiv.2511.13470,
title = {Magnetic Double-Wells: Lower Bounds on Tunneling},
author = {Charles L. Fefferman and Jacob Shapiro and Michael I. Weinstein},
journal= {arXiv preprint arXiv:2511.13470},
year = {2025}
}
Comments
With an appendix by Tal Shpigel, 81 pages