{
  "annotation_id": "b64eb197-587d-4e3d-b0ea-3f3e57173cee",
  "date_created": "2026-03-02T18:02:09.189000Z",
  "date_modified": "2026-03-02T18:02:09.189000Z",
  "file_hash": "7a3d786a7fe87848790ea602c34d0ae650546eefbcf1fa366b28b0c63dfe6ea8",
  "private": false,
  "record": {
    "abstract": "Point interactions for the second derivative operator in one dimension are\nstudied. Every operator from this family is described by the boundary\nconditions which include a $ 2 \\times 2 $ real matrix with the unit determinant\nand a phase. The role of the phase parameter leading to unitary equivalent\noperators is discussed in the present paper. In particular it is shown that the\nphase parameter is not redundant (contrary to previous studies) if non\nstationary problems are concerned. It is proven that the phase parameter can be\ninterpreted as the amplitude of a singular gauge field. Considering the\nfew-body problem we extend the range of parameters for which the exact solution\ncan be found using the Bethe Ansatz.",
    "arxiv_id": "quant-ph/0406158",
    "authors": [
      "S. Albeverio",
      "S. M. Fei",
      "P. Kurasov"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0034-4877(04)90023-7",
    "journal_ref": "Rept.Math.Phys. 53 (2004) 363-370",
    "title": "Gauge fields, point interactions and few-body problems in one dimension",
    "url": "https://arxiv.org/abs/quant-ph/0406158"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a237b3e9-618f-47aa-b954-4cd568ec40f3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}