{
  "annotation_id": "e03facb0-2a4a-44c5-8b3a-e8e5f9ef8f07",
  "date_created": "2026-03-02T18:02:43.878000Z",
  "date_modified": "2026-03-02T18:02:43.878000Z",
  "file_hash": "c8484d8d1ea406239eba3b5c5812d3ac55331c3128f4aea7688eeb741f3e1381",
  "private": false,
  "record": {
    "abstract": "In the light of the Sturm-Liouville theorem, the Levinson theorem for the\nSchr\\\"{o}dinger equation with both local and non-local cylindrically symmetric\npotentials is studied. It is proved that the two-dimensional Levinson theorem\nholds for the case with both local and non-local cylindrically symmetric cutoff\npotentials, which is not necessarily separable. In addition, the problems\nrelated to the positive-energy bound states and the physically redundant state\nare also discussed in this paper.",
    "arxiv_id": "quant-ph/9806005",
    "authors": [
      "Shi-Hai dong",
      "Xi-Wen Hou",
      "Zhong-Qi Ma"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/31/37/010",
    "journal_ref": "J.Phys.A31:7501-7510,1998",
    "title": "Levinson\u0027s Theorem for Non-local Interactions in Two Dimensions",
    "url": "https://arxiv.org/abs/quant-ph/9806005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "73207552-4ea9-40b4-96d4-78fd9b59ff6d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}