{
  "annotation_id": "ed784a01-8ffa-4852-a1ba-e39279ec5da0",
  "date_created": "2026-03-02T18:02:06.805000Z",
  "date_modified": "2026-03-02T18:02:06.805000Z",
  "file_hash": "2517f24f63bab606e1c09f685bce8a2b52736df9d6b7d47edb27c0804a69e14e",
  "private": false,
  "record": {
    "abstract": "The notion of phase plays an esential role in both classical and quantum\nmechanics.But what is a phase? We show that if we define the notion of phase in\nphase (!) space one can very easily and naturally recover the Heisenberg-Weyl\nformalism; this is achieved using the properties of the Poincare-Cartan\ninvariant, and without making any quantum assumption.",
    "arxiv_id": "quant-ph/0404072",
    "authors": [
      "Maurice de Gosson"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/37/29/008",
    "title": "On the notion of phase in mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0404072"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b9104eb4-e0d5-4054-9e6d-4629a7067efb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}