{
  "annotation_id": "2c296478-86ed-4e0c-bb8b-24bbdbcb57d9",
  "date_created": "2026-03-02T18:02:23.907000Z",
  "date_modified": "2026-03-02T18:02:23.907000Z",
  "file_hash": "e43c1bad160fb021410783e5007fe8e8c43d794c12b64a50585a333bd9fa3f94",
  "private": false,
  "record": {
    "abstract": "The analytic continuation of the Lippmann-Schwinger bras and kets is obtained\nand characterized. It is shown that the natural mathematical setting for the\nanalytic continuation of the solutions of the Lippmann-Schwinger equation is\nthe rigged Hilbert space rather than just the Hilbert space. It is also argued\nthat this analytic continuation entails the imposition of a time asymmetric\nboundary condition upon the group time evolution, resulting into a semigroup\ntime evolution. Physically, the semigroup time evolution is simply a (retarded\nor advanced) propagator.",
    "arxiv_id": "quant-ph/0603177",
    "authors": [
      "R. de la Madrid"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/39/15/009",
    "journal_ref": "J. Phys. A: Math. Gen. 39 (2006) 3981-4009",
    "title": "The rigged Hilbert space approach to the Lippmann-Schwinger equation.   Part II: The analytic continuation of the Lippmann-Schwinger bras and kets",
    "url": "https://arxiv.org/abs/quant-ph/0603177"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "baf3201d-1da9-4d69-9d14-dd9a5872f097",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}