On the non-existence of zero modes

Elton, Daniel Mark (2018) On the non-existence of zero modes. Opuscula Mathematica, 38 (4). pp. 537-566. ISSN 1232-9274

[thumbnail of noZM_OM]
Preview
PDF (noZM_OM)
noZM_OM.pdf - Accepted Version
Available under License Creative Commons Attribution-NonCommercial-NoDerivs.

Download (320kB)

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.

Item Type:
Journal Article
Journal or Publication Title:
Opuscula Mathematica
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600
Subjects:
?? weyl–dirac operatorzero modesmathematics(all) ??
ID Code:
89289
Deposited By:
Deposited On:
02 Jan 2018 11:08
Refereed?:
Yes
Published?:
Published
Last Modified:
18 Dec 2023 01:50