JournalsjemsVol. 23, No. 10pp. 3279–3321

On the semiclassical spectrum of the Dirichlet–Pauli operator

  • Jean-Marie Barbaroux

    Université de Toulon, France

  • Loic Le Treust

    Université d'Aix-Marseille, France

  • Nicolas Raymond

    Université d'Angers, France

  • Edgardo Stockmeyer

    Pontificia Universidad Católica de Chile, Santiago, Chile
On the semiclassical spectrum of the Dirichlet–Pauli operator cover
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Abstract

This paper is devoted to semiclassical estimates of the eigenvalues of the Pauli operator on a bounded open set with Dirichlet conditions on the boundary. Assuming that the magnetic field is positive and a few generic conditions, we establish the simplicity of the eigenvalues and provide accurate asymptotic estimates involving Segal–Bargmann and Hardy spaces associated with the magnetic field.

Cite this article

Jean-Marie Barbaroux, Loic Le Treust, Nicolas Raymond, Edgardo Stockmeyer, On the semiclassical spectrum of the Dirichlet–Pauli operator. J. Eur. Math. Soc. 23 (2021), no. 10, pp. 3279–3321

DOI 10.4171/JEMS/1085