On the semi-classical analysis of the ground state energy of the Dirichlet Pauli operator

被引：12

作者：

Halffer, Bernard ^{[1
,2
]}

Sundqvist, Mikael Persson ^{[3
]}

机构：

[1] Univ Nantes, Lab Mathemat Jean Leray, 2 Rue Houssinigre, F-44322 Nantes, France

[2] Univ Paris 11, Math Lab, Orsay, France

[3] Lund Univ, Dept Math Sci, Box 118, S-22100 Lund, Sweden

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 449卷 / 01期

关键词：

Pauli operator; Dirichlet; Semiclassical; Torsion; MAXIMUM-PRINCIPLES; MAGNETIC-FIELD; MULTIPLE WELLS; EIGENVALUE; INEQUALITY; BOUNDS;

D O I：

10.1016/j.jmaa.2016.11.058

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We complete and improve the results of a recent paper by Ekholm, Kovarik and Portmann in connection with a question of C. Guillarmou about the semiclassical expansion of the lowest eigenvalue of the Pauli operator with Dirichlet conditions. We exhibit connections with the properties of the torsion function in mechanics, the exit time of a Brownian motion and the analysis of the low eigenvalues of some Witten Laplacian. (c) 2016 Elsevier Inc. All rights reserved.

引用

页码：138 / 153

页数：16

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