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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 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 .

History

Publication status

  • Published

Journal

Integral Equations and Operator Theory

ISSN

0378-620X

Publisher

Springer Verlag

Issue

3

Volume

52

Page range

419-436

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2013-09-19

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