{
  "annotation_id": "b565ec28-29f8-4fc6-95bd-2730790afad1",
  "date_created": "2026-03-02T18:01:45.955000Z",
  "date_modified": "2026-03-02T18:01:45.955000Z",
  "file_hash": "db8c835e403ae4b510b7e333d7a1c92b7dbcfe92233bf65f1f0e84c971dca5c9",
  "private": false,
  "record": {
    "abstract": "In this paper we study the classical Hilbert space introduced by Koopman and\nvon Neumann in their operatorial formulation of classical mechanics. In\nparticular we show that the states of this Hilbert space do not spread,\ndifferently than what happens in quantum mechanics. The role of the phases\nassociated to these classical \"wave functions\" is analyzed in details. In this\nframework we also perform the analog of the two-slit experiment and compare it\nwith the quantum case.",
    "arxiv_id": "quant-ph/0105112",
    "authors": [
      "D. Mauro"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1142/S0217751X02009680",
    "journal_ref": "Int.J.Mod.Phys. A17 (2002) 1301-1325",
    "title": "On Koopman-von Neumann Waves",
    "url": "https://arxiv.org/abs/quant-ph/0105112"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "54a27eaa-0174-4377-95e6-d896b0b6c6e2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}