{
  "annotation_id": "8a13c04b-7a0d-4ed5-8b14-01b3db92d431",
  "date_created": "2026-03-02T18:01:39.347000Z",
  "date_modified": "2026-03-02T18:01:39.347000Z",
  "file_hash": "bfd6629d6fd6ba8d912bd99ae5fb8bf2a6c182503450a3b8c84e033778a66c7b",
  "private": false,
  "record": {
    "abstract": "In Moyal\u0027s formulation of quantum mechanics, a quantum spin s is described in\nterms of continuous symbols, i.e. by smooth functions on a two-dimensional\nsphere. Such prescriptions to associate operators with Wigner functions, P- or\nQ-symbols, are conveniently expressed in terms of operator kernels satisfying\nthe Stratonovich-Weyl postulates. In analogy to this approach, a discrete Moyal\nformalism is defined on the basis of a modified set of postulates. It is shown\nthat appropriately modified postulates single out a well-defined set of kernels\nwhich give rise to discrete symbols. Now operators are represented by functions\ntaking values on (2s+1)(2s+1) points of the sphere. The discrete symbols\ncontain no redundant information, contrary to the continuous ones. The\nproperties of the resulting discrete Moyal formalism for a quantum spin are\nworked out in detail and compared to the continuous formalism, and it is\nillustrated by the example of a spin 1/2.",
    "arxiv_id": "quant-ph/0004022",
    "authors": [
      "Stephan Heiss",
      "Stefan Weigert"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.63.012105",
    "journal_ref": "Phys. Rev. A 63 (2001) 012105",
    "title": "Discrete Moyal-type Representations for a Spin",
    "url": "https://arxiv.org/abs/quant-ph/0004022"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "19c9bab7-caaa-479e-88a6-bfd8814acef0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}