{
  "annotation_id": "46baecd8-6ea2-4291-9921-470e7ac3c5cc",
  "date_created": "2026-03-02T18:02:45.035000Z",
  "date_modified": "2026-03-02T18:02:45.035000Z",
  "file_hash": "b7ae0c89acf004e6da86d611d386b006d85b0cf25dbed9ac16b460f0f7e0e3e2",
  "private": false,
  "record": {
    "abstract": "We construct a one-dimensional contact interaction ($\\epsilon$ potential)\nwhich induces the discontinuity of the wave function while keeping its\nderivative continuous. By combining the $\\epsilon$ potential and the Dirac\u0027s\n$\\delta$ function, we construct most general one-dimensional contact\ninteractions allowable under the time reversal symmetry. We present some\nelementary results for the scattering problem which suggest a dual relation\nbetween $\\delta$ and $\\epsilon$ potentials.",
    "arxiv_id": "quant-ph/9808034",
    "authors": [
      "Taksu Cheon",
      "T. Shigehara"
    ],
    "categories": [
      "quant-ph",
      "cond-mat",
      "hep-th",
      "nlin.SI",
      "nucl-th",
      "solv-int"
    ],
    "title": "Some Aspects of Generalized Contact Interaction in One-Dimensional   Quantum Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/9808034"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "790072f5-70b6-4c99-9b9a-62b149026982",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}