{
  "id": "1701.04987",
  "version": "v1",
  "published": "2017-01-18T09:03:47.000Z",
  "updated": "2017-01-18T09:03:47.000Z",
  "title": "Self-adjointness and spectral properties of Dirac operators with magnetic links",
  "authors": [
    "Fabian Portmann",
    "Jérémy Sok",
    "Jan Philip Solovej"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "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. Certain examples, such as circles in $\\mathbb{S}^3$, are investigated in detail and we compute the dimension of the zero-energy eigenspace.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-18T09:03:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81Q10",
      "58C40",
      "57M25"
    ],
    "keywords": [
      "spectral properties",
      "magnetic links",
      "self-adjointness",
      "define dirac operators",
      "magnetic fields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}