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

We define Dirac operators on $\mathbb{S}^3$ (and $\mathbb{R}^3$) 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. C...

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Hauptverfasser: Portmann, Fabian, Sok, Jérémy, Solovej, Jan Philip
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Sprache:eng
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