{
  "annotation_id": "64b8e306-49f7-40c8-a40e-bc86fb341e30",
  "date_created": "2026-03-02T18:00:32.234000Z",
  "date_modified": "2026-03-02T18:00:32.234000Z",
  "file_hash": "52ed949e905eeaaccfce2c7e29f56d62699159c85cd709199d39eae030168344",
  "private": false,
  "record": {
    "abstract": "We demonstrate how to separate the rotational degrees of freedom in a quantum\nN-body problem completely from the internal ones. It is shown that any common\neigenfunction of the total orbital angular momentum ($\\ell$) and the parity in\nthe system can be expanded with respect to $(2\\ell+1)$ base-functions, where\nthe coefficients are the functions of the internal variables. We establish\nexplicitly the equations for those functions, called the generalized radial\nequations, which are $(2\\ell+1)$ coupled partial differential equations\ncontaining only $(3N-6)$ internal variables.",
    "arxiv_id": "physics/0010049",
    "authors": [
      "Zhong-Qi Ma",
      "Bing Duan",
      "Xiao-Yan Gu"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "title": "Generalized Radial Equations in a Quantum N-Body Problem",
    "url": "https://arxiv.org/abs/physics/0010049"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2e8f3643-fd28-4594-a9a0-a311e20a06fc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}