On the semiclassical spectrum of the Dirichlet-Pauli operator (Q2039604)
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| Language | Label | Description | Also known as |
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| English | On the semiclassical spectrum of the Dirichlet-Pauli operator |
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On the semiclassical spectrum of the Dirichlet-Pauli operator (English)
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5 July 2021
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Summary: 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.
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Pauli operator
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magnetic Cauchy-Riemann operators
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semiclassical analysis
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