{
  "annotation_id": "bebd3f82-6982-4812-be93-3a7addb256ed",
  "date_created": "2026-03-02T18:02:41.355000Z",
  "date_modified": "2026-03-02T18:02:41.355000Z",
  "file_hash": "7647b68ad764d48e1be0608488ab2f0a2eee2f8cc6f7dd16608eedbf07fad3d0",
  "private": false,
  "record": {
    "abstract": "It is shown that a potential consisting of three Dirac\u0027s delta functions on\nthe line with disappearing distances can give rise to the discontinuity in wave\nfunctions with the proper renormalization of the delta function strength. This\ncan be used as a building block, along with the usual Dirac\u0027s delta, to\nconstruct the most general three-parameter family of point interactions, which\nallow both discontinuity and asymmetry of the wave function, as the zero-size\nlimit of self-adjoint local operators in one-dimensional quantum mechanics.\nExperimental realization of the Neumann boundary is discussed.\n  KEYWORDS: point interaction, self-adjoint extension, $\\delta\u0027$ potential,\nwave function discontinuity, Neumann boundary\n  PACS Nos: 3.65.-w, 11.10.Gh, 68.65+g",
    "arxiv_id": "quant-ph/9709035",
    "authors": [
      "Taksu Cheon",
      "T. Shigehara"
    ],
    "categories": [
      "quant-ph",
      "chao-dyn",
      "nlin.CD",
      "nucl-th"
    ],
    "doi": "10.1016/S0375-9601(98)00188-1",
    "journal_ref": "Physics Letters A243 (1998) 111-116",
    "title": "Realizing Discontinuous Wave Functions with Renormalized Short-Range   Potentials",
    "url": "https://arxiv.org/abs/quant-ph/9709035"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ed7c3639-2edb-45f3-a019-fc7eac049211",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}