On the semiclassical spectrum of the Dirichlet-Pauli operator

被引：12

作者：

Barbaroux, J-M ^{[1
]}

Le Treust, L. ^{[2
]}

Raymond, N. ^{[3
]}

Stockmeyer, E. ^{[4
]}

机构：

[1] Univ Toulon & Var, Aix Marseille Univ, CNRS, CPT, Toulon, France

[2] Aix Marseille Univ, CNRS, Cent Marseille, I2M, Marseille, France

[3] Univ Angers, LAREMA, Fac Sci, Dept Math, F-49045 Angers 01, France

[4] Pontificia Univ Catolica Chile, Inst Fis, Vicuna Mackenna 4860, Santiago 7820436, Chile

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2021年 / 23卷 / 10期

关键词：

Pauli operator; magnetic Cauchy-Riemann operators; semiclassical analysis; BOUNDARY-VALUE-PROBLEMS;

D O I：

10.4171/JEMS/1085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：3279 / 3321

页数：43

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