{
  "annotation_id": "9d04f523-c56f-4cc3-8932-a10122fbfb2e",
  "date_created": "2026-03-02T18:02:41.100000Z",
  "date_modified": "2026-03-02T18:02:41.100000Z",
  "file_hash": "0b0f3827360c577fd756c145a08d1b4ef2dda1fcb8c3fe9d806f58ad4c5520fd",
  "private": false,
  "record": {
    "abstract": "We reconsider the problem of quantising a particle on the $D$-dimensional\nsphere. Adopting a Lagrangian method of reducing the degrees of freedom, the\nquantum Hamiltonian is found to be the usual Schr\\\"odinger operator without any\nboundary term. The equivalence with the Dirac Hamiltonian approach is\ndemonstrated, either in the cartesian or in the curvilinear basis. We also\nbriefly comment on the path integral approach.",
    "arxiv_id": "quant-ph/9803021",
    "authors": [
      "E. Abdalla",
      "R. Banerjee"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Braz.J.Phys. 31 (2001) 80-83",
    "title": "Quantization of the multidimensional rotor",
    "url": "https://arxiv.org/abs/quant-ph/9803021"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9fbd6727-2ebb-4bba-82e7-538bb88a304b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}