On the non-existence of zero modes
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 produc...
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2018-01-01
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| Series: | Opuscula Mathematica |
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| Online Access: | http://www.opuscula.agh.edu.pl/vol38/4/art/opuscula_math_3824.pdf |