{
  "annotation_id": "94a64108-014f-4ba2-9f99-f15c29069601",
  "date_created": "2026-03-02T18:02:47.377000Z",
  "date_modified": "2026-03-02T18:02:47.377000Z",
  "file_hash": "04aa7ec78c5b4a8e6eb55fef218baa731eeb4a98159a02ac4d3be1be538db261",
  "private": false,
  "record": {
    "abstract": "In the framework of Dirac quantization with second class constraints, a free\nparticle moving on the surface of a $(d-1)-$dimensional sphere has an ambiguity\nin the energy spectrum due to the arbitrary shift of canonical momenta. We\nexplicitly show that this spectrum obtained by the Dirac method can be\nconsistent with the result of the Batalin-Fradkin-Tyutin formalism, which is an\nimproved\n  Dirac method, at the level of the first-class constraint by fixing the\nambiguity, and discuss its physical consequences.",
    "arxiv_id": "quant-ph/9906081",
    "authors": [
      "Soon-Tae Hong",
      "Won Tae Kim",
      "Young-Jai Park"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1142/S0217732300002450",
    "journal_ref": "Mod.Phys.Lett. A15 (2000) 1915-1922",
    "title": "Improved Dirac quantization of a free particle",
    "url": "https://arxiv.org/abs/quant-ph/9906081"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4f976d9a-255f-4fcf-ab7b-eb4b664d1607",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}