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On the non-existence of zero modes

Research output: Contribution to journalJournal article

Published
<mark>Journal publication date</mark>1/01/2018
<mark>Journal</mark>Opuscula Mathematica
Issue number4
Volume38
Number of pages20
Pages (from-to)537-566
Publication statusPublished
Original languageEnglish

Abstract

We consider magnetic fields on R3 which are parallel to a conformal Killing field. When the latter generates a simple rotation we show that a Weyl-Dirac operator with such a magnetic field cannot have a zero mode. In particular this allows us to expand the class of non zero mode producing magnetic fields to include examples of non-trivial smooth compactly supported fields.