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The local structure of the set of zero mode producing magnetic potentials.

Elton, Daniel M. (2002) The local structure of the set of zero mode producing magnetic potentials. Communications in Mathematical Physics, 229 (1). pp. 121-139. ISSN 0010-3616

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Abstract

We consider the class of continuous magnetic potentials on ℝ3 which decay as o(|x|− 1). Within this class it is shown that the set of potentials whose associated Weyl-Dirac operator produces zero modes with multiplicity m forms a smooth submanifold of co-dimension m 2 when m= 0, 1, 2, and is contained in a smooth submanifold of co-dimension 2m− 1 when m≥ 3.

Item Type: Article
Journal or Publication Title: Communications in Mathematical Physics
Additional Information: RAE_import_type : Journal article RAE_uoa_type : Pure Mathematics
Subjects: Q Science > QA Mathematics
Departments: Faculty of Science and Technology > Mathematics and Statistics
ID Code: 2371
Deposited By: ep_importer
Deposited On: 01 Apr 2008 16:03
Refereed?: Yes
Published?: Published
Last Modified: 09 Oct 2013 13:12
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/2371

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