{
  "annotation_id": "1634c187-9714-4855-adb5-69dc5b312cb1",
  "date_created": "2026-03-02T18:02:24.201000Z",
  "date_modified": "2026-03-02T18:02:24.201000Z",
  "file_hash": "e2e64e67c0940fab2958009b68cefb3aca9319fb8d804bd5adf7581d3e63bcbc",
  "private": false,
  "record": {
    "abstract": "We apply the recently generalized Levinson theorem for potentials with\ninverse square singularities [Sheka et al, Phys.Rev.A, v.68, 012707 (2003)] to\nAharonov-Bohm systems in two-dimensions. By this theorem, the number of bound\nstates in a given m-th partial wave is related to the phase shift and the\nmagnetic flux. The results are applied to 2D soliton-magnon scattering.",
    "arxiv_id": "quant-ph/0603123",
    "authors": [
      "Denis D. Sheka",
      "Franz G. Mertens"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.74.052703",
    "journal_ref": "Phys. Rev. A 74, 052703 (2006)",
    "title": "Levinson theorem for Aharonov-Bohm scattering in two dimensions",
    "url": "https://arxiv.org/abs/quant-ph/0603123"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1cd26f17-eb43-4bb2-bf49-d10960b1b368",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}