Lower Bounds on Quantum Tunneling for Excited States
Mathematical Physics
2025-06-17 v1 Analysis of PDEs
Functional Analysis
math.MP
Quantum Physics
Abstract
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 the case where the single-well potential satisfies reflection-symmetry.
Cite
@article{arxiv.2506.12650,
title = {Lower Bounds on Quantum Tunneling for Excited States},
author = {Charles L. Fefferman and Jacob Shapiro and Michael I. Weinstein},
journal= {arXiv preprint arXiv:2506.12650},
year = {2025}
}
Comments
20 pages, 1 figure