Self-adjointness and spectral properties of Dirac operators with magnetic links
Mathematical Physics
2018-02-21 v3 math.MP
Abstract
We define Dirac operators on (and ) 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 , are investigated in detail and we compute the dimension of the zero-energy eigenspace.
Keywords
Cite
@article{arxiv.1701.04987,
title = {Self-adjointness and spectral properties of Dirac operators with magnetic links},
author = {Fabian Portmann and Jérémy Sok and Jan Philip Solovej},
journal= {arXiv preprint arXiv:1701.04987},
year = {2018}
}