File(s) not publicly available
The Friedrichs extension of the Aharonov-Bohm Hamiltonian on a disk
journal contributionposted on 2023-06-08, 15:51 authored by Johannes F Brasche, Michael MelgaardMichael Melgaard
We show that the Aharonov–Bohm Hamiltonian considered on a disc has a four-parameter family of self-adjoint extensions. Among the in- finitely many self-adjoint extensions, we determine to which parameters the Friedrichs extension H F corresponds and its lowest eigenvalue is found. Moreover, we note that the diamagnetic inequality holds for H F .
JournalIntegral Equations and Operator Theory
Department affiliated with
- Mathematics Publications
Full text available