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.
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页码：179 / 190
页数：12
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