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
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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