{
  "annotation_id": "c7647cc9-efaf-4b62-b09e-7203593dfed1",
  "date_created": "2026-03-02T18:00:36.386000Z",
  "date_modified": "2026-03-02T18:00:36.386000Z",
  "file_hash": "63973e931ee48c6bbfea6a368cffa336b4df1f7adbc0d0091b2ab8ee8919eb6b",
  "private": false,
  "record": {
    "abstract": "The global rotational degrees of freedom in the Schr\\\"{o}dinger equation for\nan $N$-body system are completely separated from the internal ones. After\nremoving the motion of center of mass, we find a complete set of $(2\\ell+1)$\nindependent base functions with the angular momentum $\\ell$. These are\nhomogeneous polynomials in the components of the coordinate vectors and the\nsolutions of the Laplace equation, where the Euler angles do not appear\nexplicitly. Any function with given angular momentum and given parity in the\nsystem can be expanded with respect to the base functions, where the\ncoefficients are the functions of the internal variables. With the right choice\nof the base functions and the internal variables, we explicitly establish the\nequations for those functions. Only (3N-6) internal variables are involved both\nin the functions and in the equations. The permutation symmetry of the wave\nfunctions for identical particles is discussed.",
    "arxiv_id": "physics/0108029",
    "authors": [
      "Xiao-Yan Gu",
      "Bing Duan",
      "Zhong-Qi Ma"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "doi": "10.1103/PhysRevA.64.042108",
    "title": "Independent Eigenstates of Angular Momentum in a Quantum N-body System",
    "url": "https://arxiv.org/abs/physics/0108029"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2e8eed16-ba48-4c63-bf03-5594dd8038a6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}