{
  "annotation_id": "96fb1986-c43a-45bb-9fcc-ce43dc4c059e",
  "date_created": "2026-03-02T18:01:56.128000Z",
  "date_modified": "2026-03-02T18:01:56.128000Z",
  "file_hash": "c1e70800ad464ddc8c88c1b90488957bbb917c0351d26c045afe8893aab726a3",
  "private": false,
  "record": {
    "abstract": "The Levinson theorem for two-dimensional scattering is generalized for\npotentials with inverse square singularities. By this theorem, the number of\nbound states in a given m-th partial wave is related to the phase shift and the\nsingularity strength of the potential. For the m-wave phase shift the\nasymptotic behaviour is calculated for short wavelengths.",
    "arxiv_id": "quant-ph/0211062",
    "authors": [
      "Denis D. Sheka",
      "Boris A. Ivanov",
      "Franz G. Mertens"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.68.012707",
    "title": "Asymptotic phase shifts and Levinson theorem for 2D potentials with   inverse square singularities",
    "url": "https://arxiv.org/abs/quant-ph/0211062"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "feb8adef-9449-422a-b6b0-8476a54a17a1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}