{
  "annotation_id": "11739bd5-955b-491a-a5d8-595b5d7219d2",
  "date_created": "2026-03-02T18:02:45.241000Z",
  "date_modified": "2026-03-02T18:02:45.241000Z",
  "file_hash": "461919fa6cf2c42683a1299ff3c35d3a5b295204c17f624fba9a177075664525",
  "private": false,
  "record": {
    "abstract": "The Levinson theorem for nonrelativistic quantum mechanics in two spatial\ndimensions is generalized to Dirac particles moving in a central field. The\ntheorem relates the total number of bound states with angular momentum $j$\n($j=\\pm 1/2, \\pm 3/2, ... $), $n_j$, to the phase shifts $\\eta_j(\\pm E_k)$ of\nscattering states at zero momentum as follows: $\\eta_j(\\mu)+\\eta_j(-\\mu)=\nn_j\\pi$.",
    "arxiv_id": "quant-ph/9806075",
    "authors": [
      "Qiong-gui Lin"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.57.3478",
    "journal_ref": "Phys.Rev. A57 (1998) 3478-3488",
    "title": "Levinson theorem for Dirac particles in two dimensions",
    "url": "https://arxiv.org/abs/quant-ph/9806075"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "74a7a811-ed33-42c7-aed9-3beef4ab111b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}