{
  "annotation_id": "a09bf47b-6a02-4d65-b37b-c679d2de397c",
  "date_created": "2026-03-02T18:02:23.907000Z",
  "date_modified": "2026-03-02T18:02:23.907000Z",
  "file_hash": "70f68d11d8ca9220b1ce59af26b569b46797f98ea59870be7f16c4d6c75c5452",
  "private": false,
  "record": {
    "abstract": "We exemplify the way the rigged Hilbert space deals with the\nLippmann-Schwinger equation by way of the spherical shell potential. We\nexplicitly construct the Lippmann-Schwinger bras and kets along with their\nenergy representation, their time evolution and the rigged Hilbert spaces to\nwhich they belong. It will be concluded that the natural setting for the\nsolutions of the Lippmann-Schwinger equation--and therefore for scattering\ntheory--is the rigged Hilbert space rather than just the Hilbert space.",
    "arxiv_id": "quant-ph/0603176",
    "authors": [
      "R. de la Madrid"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/39/15/008",
    "journal_ref": "J. Phys. A: Math. Gen. 39 (2006) 3949-3979",
    "title": "The rigged Hilbert space approach to the Lippmann-Schwinger equation.   Part I",
    "url": "https://arxiv.org/abs/quant-ph/0603176"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0d441687-6ad2-4a1b-b7b6-1fc1878886b8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}