MULTIPLE AHARONOV-BOHM EIGENVALUES: THE CASE OF THE FIRST EIGENVALUE ON THE DISK

被引：2

作者：

Abatangelo, Laura ^{[1
]}

机构：

[1] Univ Milano Bicocca, Dipartimento Matemat & Applicazioni, Via Cozzi 55, I-20125 Milan, Italy

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 01期

关键词：

Magnetic Schrodinger operators; Aharonov-Bohm potential; spectral theory; genericity; SPECTRAL MINIMAL PARTITIONS; NODAL SETS; SCHRODINGER-OPERATORS; BOUNDARY-BEHAVIOR; INEQUALITIES; POTENTIALS;

D O I：

10.1090/proc/14149

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is known that the first eigenvalue for Aharonov-Bohm operators with half-integer circulation in the unit disk is double if the potential's pole is located at the origin. We prove that in fact it is simple as the pole a not equal 0.

引用

页码：179 / 190

页数：12

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