{
  "annotation_id": "bc279b2a-e6b2-4b47-b777-4d73891c7739",
  "date_created": "2026-03-02T18:02:51.517000Z",
  "date_modified": "2026-03-02T18:02:51.517000Z",
  "file_hash": "81127b2d20a0a57d36553c1b9f430ca9981f6aabc7e8ef202cb1f670712a11ab",
  "private": false,
  "record": {
    "abstract": "Inspired by the fact that the Moyal quantization is related with nonlocal\noperation, I define a difference analogue of vector fields and rephrase quantum\ndescription on the phase space. Applying this prescription to the theory of the\nKP-hierarchy, I show that their integrability follows to the nature of their\nWigner distribution. Furthermore the definition of the ``expectation value\u0027\u0027\nclarifies the relation between our approach and the Hamiltonian structure of\nthe KP-hierarchy. A trial of the explicit construction of the Moyal bracket\nstructure in the integrable system is also made.",
    "arxiv_id": "solv-int/9612005",
    "authors": [
      "Ryuji Kemmoku"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1143/JPSJ.66.51",
    "title": "Difference Operator Approach to the Moyal Quantization and Its   Application to Integrable Systems",
    "url": "https://arxiv.org/abs/solv-int/9612005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "def66447-3e99-4c5d-b777-f6dbb6b5d2e6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}