TY  - JOUR
ID  - Elton2018
LB  - Elton2018
AU  - Elton, Daniel M.
TI  - On the non-existence of zero modes
ST  - On the non-existence of zero modes
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2018
VL  - 38
IS  - 4
SP  - 537
EP  - 556
DO  - https://doi.org/10.7494/OpMath.2018.38.4.537
UR  - https://doi.org/10.7494/OpMath.2018.38.4.537
AB  - 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.
KW  - Weyl-Dirac operator
KW  - zero modes
SN  - 1232-9274
ER  -