On the non-existence of zero modes

• Autorzy: Elton D. M.

Identyfikatory

DOI

10.7494/OpMath.2018.38.4.537

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Weyl-Dirac operator; zero modes

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2018
• Tom: Vol. 38, no. 4
• Strony: 537--556
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Elton D. M.

• Lancaster University Fylde College Department of Mathematics and Statistics Lancaster LAI 4YF, United Kingdom

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).