Self-adjointness and spectral properties of Dirac operators with magnetic links
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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.
Originalsprog | Engelsk |
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Tidsskrift | Journal de Mathematiques Pures et Appliquees |
Vol/bind | 119 |
Sider (fra-til) | 114-157 |
ISSN | 0021-7824 |
DOI | |
Status | Udgivet - 2018 |
Links
- https://arxiv.org/abs/1701.04987
Accepteret manuskript
ID: 189672106