Purely magnetic tunnelling between radial magnetic wells
Spectral Theory
2023-08-09 v1 Mathematical Physics
math.MP
Abstract
This article is devoted to the semiclassical spectral analysis of the magnetic Laplacian in two dimensions. Assuming that the magnetic field is positive and has two symmetric radial wells, we establish an accurate tunnelling formula, that is a one-term estimate of the spectral gap between the lowest two eigenvalues. This gap is exponentially small when the semiclassical parameter goes to zero, but positive.
Keywords
Cite
@article{arxiv.2308.04315,
title = {Purely magnetic tunnelling between radial magnetic wells},
author = {Søren Fournais and Léo Morin and Nicolas Raymond},
journal= {arXiv preprint arXiv:2308.04315},
year = {2023}
}