{
  "annotation_id": "c73e35ec-dc75-4f97-a38c-41b8c563634d",
  "date_created": "2026-03-02T18:01:46.028000Z",
  "date_modified": "2026-03-02T18:01:46.028000Z",
  "file_hash": "3666f6c70e119e776f59f370c85307b2987fc16c85b4f91de03822f8526409f3",
  "private": false,
  "record": {
    "abstract": "We construct the systems of generalised coherent states for the discrete and\ncontinuous spectra of the hydrogen atom. These systems are expressed in\nelementary functions and are invariant under the $SO(3, 2)$ (discrete spectrum)\nand $SO(4, 1)$ (continuous spectrum) subgroups of the dynamical symmetry group\n$SO(4, 2)$ of the hydrogen atom. Both systems of coherent states are particular\ncases of the kernel of integral operator which interwines irreducible\nrepresentations of the $SO(4, 2)$ group.",
    "arxiv_id": "quant-ph/0108042",
    "authors": [
      "Simeon Pol\u0027shin"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/34/49/323",
    "journal_ref": "J.Phys.A 34 (2001) 11083",
    "title": "Coherent states for the hydrogen atom: discrete and continuous spectra",
    "url": "https://arxiv.org/abs/quant-ph/0108042"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c7c8aab9-1f24-46a8-95f7-a16339f368a9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}