{
  "annotation_id": "779faf76-f4bf-41a8-9da5-2ff8f922406c",
  "date_created": "2026-03-02T18:00:39.602000Z",
  "date_modified": "2026-03-02T18:00:39.602000Z",
  "file_hash": "8e8a596ab0bdde12361463719ec33a1c06829316d930ef2bd441b554809975f5",
  "private": false,
  "record": {
    "abstract": "The independent eigenstates of the total orbital angular momentum operators\nfor a three-body system in an arbitrary D-dimensional space are presented by\nthe method of group theory. The Schr\\\"{o}dinger equation is reduced to the\ngeneralized radial equations satisfied by the generalized radial functions with\na given total orbital angular momentum denoted by a Young diagram\n$[\\mu,\\nu,0,...,0]$ for the SO(D) group. Only three internal variables are\ninvolved in the functions and equations. The number of both the functions and\nthe equations for the given angular momentum is finite and equal to\n$(\\mu-\\nu+1)$.",
    "arxiv_id": "physics/0203026",
    "authors": [
      "Xiao-Yan Gu",
      "Bin Duan",
      "Zhong-Qi Ma"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "doi": "10.1063/1.1476393",
    "title": "Quantum three-body system in D dimensions",
    "url": "https://arxiv.org/abs/physics/0203026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fa584375-8ff5-49be-89d5-a116f85de64a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}