{
  "id": "1011.5761",
  "version": "v1",
  "published": "2010-11-26T11:12:30.000Z",
  "updated": "2010-11-26T11:12:30.000Z",
  "title": "Non-Weyl resonance asymptotics for quantum graphs in a magnetic field",
  "authors": [
    "Pavel Exner",
    "Jiri Lipovsky"
  ],
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "We study asymptotical behaviour of resonances for a quantum graph consisting of a finite internal part and external leads placed into a magnetic field, in particular, the question whether their number follows the Weyl law. We prove that the presence of a magnetic field cannot change a non-Weyl asymptotics into a Weyl one and vice versa. On the other hand, we present examples demonstrating that for some non-Weyl graphs the ``effective size'' of the graph, and therefore the resonance asymptotics, can be affected by the magnetic field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-11-26T11:12:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "magnetic field",
      "non-weyl resonance asymptotics",
      "quantum graph",
      "finite internal part",
      "non-weyl graphs"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.physleta.2010.12.042",
      "journal": "Physics Letters A",
      "year": 2011,
      "month": "Jan",
      "volume": 375,
      "number": 4,
      "pages": 805
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011PhLA..375..805E"
    }
  }
}