Brasche, Johannes F and Melgaard, Michael (2005) The Friedrichs extension of the Aharonov-Bohm Hamiltonian on a disk. Integral Equations and Operator Theory, 52 (3). pp. 419-436. ISSN 0378-620X

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Abstract

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 .

Item Type:	Article
Keywords:	Aharonov-Bohm, self-adjoint extensions, singular Sturm-Liouville theory
Schools and Departments:	School of Mathematical and Physical Sciences > Mathematics
Subjects:	Q Science > QA Mathematics > QA0299 Analysis. Including analytical methods connected with physical problems
Related URLs:	Publisher
Depositing User:	Michael Melgaard
Date Deposited:	19 Sep 2013 10:51
Last Modified:	19 Sep 2013 10:51
URI:	http://srodev.sussex.ac.uk/id/eprint/46380

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