{
  "annotation_id": "02bd374f-abbe-4ee1-85e7-44c4687cdd10",
  "date_created": "2026-03-02T18:02:48.406000Z",
  "date_modified": "2026-03-02T18:02:48.406000Z",
  "file_hash": "7bbd64d41d5fb6175baaf0e26e9587933b7946835942315b2ad643488f81137f",
  "private": false,
  "record": {
    "abstract": "We first give the solution for the local approximation of a four parameter\nfamily of generalized one-dimensional point interactions within the framework\nof non-relativistic model with three neighboring $\\delta$ functions. We also\ndiscuss the problem within relativistic (Dirac) framework and give the solution\nfor a three parameter family. It gives a physical interpretation for so-called\n$\\epsilon$ potential. It will be also shown that the scattering properties at\nhigh energy substantially differ between non-relativistic and relativistic\ncases.",
    "arxiv_id": "quant-ph/9911059",
    "authors": [
      "T. Shigehara",
      "H. Mizoguchi",
      "T. Mishima",
      "Taksu Cheon"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Generalized One-Dimensional Point Interaction in Relativistic and   Non-relativistic Quantum Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/9911059"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e0697bdb-8579-41ba-b179-70b3366fdd90",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}