{
  "annotation_id": "31a2b64a-52d0-44d5-bf24-258d332a84c7",
  "date_created": "2026-03-02T18:02:13.830000Z",
  "date_modified": "2026-03-02T18:02:13.830000Z",
  "file_hash": "b8ff30b85afb08a101770c7fedb2e11fa8ac0345eb1d0a4c40305fed45bf615f",
  "private": false,
  "record": {
    "abstract": "Probabilistic description of results of measurements and its consequences for\nunderstanding quantum mechanics are discussed. It is shown that the basic\nmathematical structure of quantum mechanics like the probability amplitude,\nBorn rule, probability density current, commutation relations, momentum\noperator, uncertainty relations, rules for including the scalar and vector\npotentials and existence of antiparticles can be derived from the definition of\nthe mean values of the space coordinates and time. Equations of motion of\nquantum mechanics, the Klein-Gordon equation, Schroedinger equation and Dirac\nequation are obtained from requirement of the relativistic invariance of the\ntheory. Limit case of localized probability densities leads to the\nHamilton-Jacobi equation of classical mechanics. Many particle systems are also\ndiscussed.",
    "arxiv_id": "quant-ph/0412175",
    "authors": [
      "L. Skala",
      "V. Kapsa"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Quantum mechanics needs no interpretation",
    "url": "https://arxiv.org/abs/quant-ph/0412175"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7076867d-cb8d-4472-9770-0667e24f744f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}