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The Friedrichs extension of the Aharonov-Bohm Hamiltonian on a disk
journal contribution
posted on 2023-06-08, 15:51 authored by Johannes F Brasche, Michael MelgaardMichael MelgaardWe 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 .
History
Publication status
- Published
Journal
Integral Equations and Operator TheoryISSN
0378-620XPublisher
Springer VerlagExternal DOI
Issue
3Volume
52Page range
419-436Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes