@Article{Elton2018,
author = "Elton, Daniel M.",
title = "On the non-existence of zero modes",
journal = "Opuscula Math.",
year = "2018",
volume = "38",
number = "4",
pages = "537--556",
doi = "https://doi.org/10.7494/OpMath.2018.38.4.537",
url = "https://doi.org/10.7494/OpMath.2018.38.4.537",
abstract = "We consider magnetic fields on \(\mathbb{R}^3\) 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.",
keywords = "Weyl-Dirac operator, zero modes",
issn = "1232-9274"
}