{
  "annotation_id": "9dc1d960-1634-43f5-ae25-c0d5f9f8a811",
  "date_created": "2026-03-02T18:02:44.469000Z",
  "date_modified": "2026-03-02T18:02:44.469000Z",
  "file_hash": "783c6152eaccedb50f72a8c6444a6ca928af376163e57c224396d95484624b50",
  "private": false,
  "record": {
    "abstract": "We prove that the separable and local approximations of the\ndiscontinuity-inducing zero-range interaction in one-dimensional quantum\nmechanics are equivalent. We further show that the interaction allows the\nperturbative treatment through the coupling renormalization.\n  Keywords: one-dimensional system, generalized contact interaction,\nrenormalization, perturbative expansion. PACS Nos: 3.65.-w, 11.10.Gh, 31.15.Md",
    "arxiv_id": "quant-ph/9811083",
    "authors": [
      "Taksu Cheon",
      "T. Shigehara",
      "K. Takayanagi"
    ],
    "categories": [
      "quant-ph",
      "cond-mat",
      "nlin.SI",
      "nucl-th",
      "solv-int"
    ],
    "doi": "10.1143/JPSJ.69.345",
    "journal_ref": "J.Phys.Soc.Jap.69:345-350,2000",
    "title": "Equivalence of Local and Separable Realizations of the   Discontinuity-Inducing Contact Interaction and Its Perturbative   Renormalizability",
    "url": "https://arxiv.org/abs/quant-ph/9811083"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f6b12a74-1f1b-4f36-829f-1a6c8d3110e5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}