Purely magnetic tunnelling between radial magnetic wells

Søren Fournais; Léo Morin; Nicolas Raymond

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arXiv · 2308.04315

Purely magnetic tunnelling between radial magnetic wells

Søren Fournais·Léo Morin·Nicolas Raymond

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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.

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BibTeX RIS

Søren Fournais, Léo Morin, Nicolas Raymond. 2023-08-08. Purely magnetic tunnelling between radial magnetic wells. https://arxiv.org/abs/2308.04315

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