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On the semiclassical spectrum of the Dirichlet-Pauli operator

Abstract : This paper is devoted to semiclassical estimates of the eigenvalues of the Pauli operator on a bounded open set whose boundary carries Dirichlet conditions. 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.
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https://hal.archives-ouvertes.fr/hal-01889492
Contributor : Loïc Le Treust <>
Submitted on : Wednesday, January 22, 2020 - 4:44:53 PM
Last modification on : Monday, March 9, 2020 - 6:16:00 PM

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  • HAL Id : hal-01889492, version 2
  • ARXIV : 1810.03344

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Jean-Marie Barbaroux, Loïc Le Treust, Nicolas Raymond, Edgardo Stockmeyer. On the semiclassical spectrum of the Dirichlet-Pauli operator. Journal of the European Mathematical Society, European Mathematical Society, In press. ⟨hal-01889492v2⟩

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