{
  "annotation_id": "a0d7618d-8134-4218-9867-0a5c0b69c5c2",
  "date_created": "2026-03-02T18:02:44.851000Z",
  "date_modified": "2026-03-02T18:02:44.851000Z",
  "file_hash": "ae6078af78c71ab95cba82b9d79b3c0f5dc6d4b8c5830d61a3f3ec9dab5642f2",
  "private": false,
  "record": {
    "abstract": "The tomographic invertable map of the Wigner function onto the positive\nprobability distribution function is studied. Alternatives to the Schr\\\"odinger\nevolution equation and to the energy level equation written for the positive\nprobability distribution are discussed. Instead of the transition probability\namplitude (Feynman path integral) a transition probability is introduced.\n  A new formulation of the conventional quantum mechanics (without wave\nfunction and density matrix) based on the ``probability representation\u0027\u0027 of\nquantum states is given. An equation for the propagator in the new formulation\nof quantum mechanics is derived. Some paradoxes of quantum mechanics are\nreconsidered.",
    "arxiv_id": "quant-ph/9902079",
    "authors": [
      "Vladimir I. Man\u0027ko"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.58229",
    "title": "Conventional Quantum Mechanics Without Wave Function and Density Matrix",
    "url": "https://arxiv.org/abs/quant-ph/9902079"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a518e519-59f1-4b6f-a67b-b79df0e20fb9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}