{
  "annotation_id": "18afc4fe-ccbc-4d80-9ccf-127beb451ac4",
  "date_created": "2026-03-02T18:00:46.726000Z",
  "date_modified": "2026-03-02T18:00:46.726000Z",
  "file_hash": "ff4e49806493cbdda94bb3a67512554012524537bd50bf7d77e6cee0e43e5195",
  "private": false,
  "record": {
    "abstract": "Complete spectrum of exact interdimensional degeneracies for a quantum\n$N$-body system in $D$-dimensions is presented by the method of generalized\nspherical harmonic polynomials. In an $N$-body system all the states with\nangular momentum $[\\mu+n]$ in $(D-2n)$ dimensions are degenerate where $[\\mu]$\nand $D$ are given and $n$ is an arbitrary integer if the representation\n$[\\mu+n]$ exists for the SO($D-2n$) group and $D-2n\\geq N$. There is an\nexceptional interdimensional degeneracy for an $N$-body system between the\nstate with zero angular momentum in $D=N-1$ dimensions and the state with zero\nangular momentum in $D=N+1$ dimensions.",
    "arxiv_id": "physics/0309093",
    "authors": [
      "Xiao-Yan Gu",
      "Zhong-Qi Ma",
      "Jian-Qiang Sun"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "doi": "10.1209/epl/i2003-00617-9",
    "title": "Interdimensional degeneracies for a quantum $N$-body system in $D$   dimensions",
    "url": "https://arxiv.org/abs/physics/0309093"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "73b2a96e-3af4-402f-b5c9-ef9904bb59d4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}