Self-adjointness and spectral properties of Dirac operators with magnetic links

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

We define Dirac operators on S 3 (and R 3) with magnetic fields supported on smooth, oriented links and prove self-adjointness of certain (natural) extensions. We then analyze their spectral properties and show, among other things, that these operators have discrete spectrum. Certain examples, such as circles in S 3, are investigated in detail and we compute the dimension of the zero-energy eigenspace.

OriginalsprogEngelsk
TidsskriftJournal de Mathematiques Pures et Appliquees
Vol/bind119
Sider (fra-til)114-157
ISSN0021-7824
DOI
StatusUdgivet - 2018

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