{
  "annotation_id": "35b556e1-dcd6-4d32-861c-23815b9a91ad",
  "date_created": "2026-03-02T18:01:56.621000Z",
  "date_modified": "2026-03-02T18:01:56.621000Z",
  "file_hash": "c266d6427ea01db447c79b73936292c4c49c72f9f0820cd03a61d8265fb09e3a",
  "private": false,
  "record": {
    "abstract": "Phase Space is the framework best suited for quantizing superintegrable\nsystems--systems with more conserved quantities than degrees of freedom. In\nthis quantization method, the symmetry algebras of the hamiltonian invariants\nare preserved most naturally, as illustrated on nonlinear $\\sigma$-models,\nspecifically for Chiral Models and de Sitter $N$-spheres. Classically, the\ndynamics of superintegrable models such as these is automatically also\ndescribed by Nambu Brackets involving the extra symmetry invariants of them.\nThe phase-space quantization worked out then leads to the quantization of the\ncorresponding Nambu Brackets, validating Nambu\u0027s original proposal, despite\nexcessive fears of inconsistency which have arisen over the years. This is a\npedagogical talk based on hep-th/0205063 and hep-th/0212267, stressing points\nof interpretation and care needed in appreciating the consistency of Quantum\nNambu Brackets in phase space. For a parallel discussion in Hilbert space, see\nT Curtright\u0027s contribution in these Proceedings [hep-th 0303088].",
    "arxiv_id": "quant-ph/0302106",
    "authors": [
      "Cosmas K Zachos",
      "Thomas L Curtright"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1063/1.1594405",
    "journal_ref": "AIP Conf.Proc.672:183-196,2003",
    "title": "Deformation Quantization of Nambu Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0302106"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bdce2f3f-9f8c-4021-9cf3-9e26606c5706",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}