On the semiclassical spectrum of the Dirichlet-Pauli operator

Jean-Marie Barbaroux; Loïc Le Treust; Nicolas Raymond; Edgardo Stockmeyer

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arXiv · 1810.03344

On the semiclassical spectrum of the Dirichlet-Pauli operator

Jean-Marie Barbaroux·Loïc Le Treust·Nicolas Raymond·Edgardo Stockmeyer

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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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BibTeX RIS

Jean-Marie Barbaroux, Loïc Le Treust, Nicolas Raymond, Edgardo Stockmeyer. 2018-10-08. On the semiclassical spectrum of the Dirichlet-Pauli operator. https://arxiv.org/abs/1810.03344

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