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
Abatangelo, L. (2019). Multiple Aharonov-Bohm eigenvalues: The case of the first eigenvalue on the disk. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 147(1), 179-190 [10.1090/proc/14149].
Multiple Aharonov-Bohm eigenvalues: The case of the first eigenvalue on the disk
Abatangelo, L
2019
Abstract
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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