{
  "annotation_id": "81fa9276-f455-4846-a058-598854e5c396",
  "date_created": "2026-03-02T18:02:38.002000Z",
  "date_modified": "2026-03-02T18:02:38.002000Z",
  "file_hash": "77196547b67f9a86691a1c19b41e5de774e6f5e54105153b971ee82d393869b7",
  "private": false,
  "record": {
    "abstract": "The objective of this series of three papers is to axiomatically derive\nquantum mechanics from classical mechanics and two other basic axioms. In this\nfirst paper, Schreodinger\u0027s equation for the density matrix is fist obtained\nand from it Schroedinger\u0027s equation for the wave functions is derived. The\nmomentum and position operators acting upon the density matrix are defined and\nit is then demonstrated that they commute. Pauli\u0027s equation for the density\nmatrix is also obtained. A statistical potential formally identical to the\nquantum potential of Bohm\u0027s hidden variable theory is introduced, and this\nquantum potential is reinterpreted through the formalism here proposed. It is\nshown that, for dispersion free {\\it ensembles% }, Schroedinger\u0027s equation for\nthe density matrix is equivalent to Newton\u0027s equations. A general non-ambiguous\nprocedure for the construction of operators which act upon the density matrix\nis presented. It is also shown how these operators can be reduced to those\nwhich act upon the wave functions.",
    "arxiv_id": "quant-ph/9503020",
    "authors": [
      "L. S. F. Olavo"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Quantum Mechanics as a Classical Theory I: Non-relativistic Theory",
    "url": "https://arxiv.org/abs/quant-ph/9503020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9df7611c-c5de-4d12-bef2-43ccd13aa8a6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}