The Friedrichs extension of the Aharonov-Bohm Hamiltonian on a disc
Journal article, 2005
We show that the Aharonov-Bohm Hamiltonian considered on a disc has a four-parameter family of self-adjoint extensions. Among the infinitely 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.
domination
boundary-conditions
semigroups
sturm-liouville operators
ordinary differential-operators
Author
Johannes Brasche
University of Gothenburg
Chalmers, Mathematical Sciences, Mathematics
Michael Melgaard
Uppsala University
Integral Equations and Operator Theory
0378-620X (ISSN) 1420-8989 (eISSN)
Vol. 52 3 419-436Subject Categories
Mathematics
DOI
10.1007/s00020-005-1352-x