On the non-existence of zero modes

Daniel M. Elton

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arXiv · 1712.06734

On the non-existence of zero modes

Daniel M. Elton

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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.

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Daniel M. Elton. 2017-12-19. On the non-existence of zero modes. https://arxiv.org/abs/1712.06734

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