Purely magnetic tunneling between radial magnetic wells

  • Søren Fournais

    University of Copenhagen, Copenhagen, Denmark
  • Léo Morin

    University of Copenhagen, Copenhagen, Denmark
  • Nicolas Raymond

    Université d’Angers, Angers, France
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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 tunneling 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.

Cite this article

Søren Fournais, Léo Morin, Nicolas Raymond, Purely magnetic tunneling between radial magnetic wells. Rev. Mat. Iberoam. (2025), published online first

DOI 10.4171/RMI/1526