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 ≠ 0.
Multiple Aharonov–Bohm eigenvalues: The case of the first eigenvalue on the disk
Abatangelo L.
2019-01-01
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 ≠ 0.File in questo prodotto:
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