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

Official URL: http://dx.doi.org/10.1007/s00220-002-0679-2

## 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 |
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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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