{
  "annotation_id": "6c0b8b80-5762-4343-ab17-8a96e7395e01",
  "date_created": "2026-03-02T18:02:24.189000Z",
  "date_modified": "2026-03-02T18:02:24.189000Z",
  "file_hash": "339243c9d9e8bee4c280aff29ad8da8364c0dc27a16ee47e9514ea184ccfb03c",
  "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 amplitudes,\nBorn rule, commutation and uncertainty relations, probability density current,\nmomentum operator, rules for including the scalar and vector potentials and\nantiparticles can be obtained from the probabilistic description of results of\nmeasurement of the space coordinates and time. Equations of motion of quantum\nmechanics, the Klein-Gordon equation, Schrodinger equation and Dirac equation\nare obtained from the requirement of the relativistic invariance of the\nspace-time Fisher information. The limit case of the delta-like probability\ndensities leads to the Hamilton-Jacobi equation of classical mechanics. Many\nparticle systems and the postulates of quantum mechanics are also discussed.",
    "arxiv_id": "quant-ph/0602182",
    "authors": [
      "L. Skala",
      "V. Kapsa"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1134/S0030400X07090135",
    "title": "Contribution to understanding the mathematical structure of quantum   mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0602182"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b2692625-4bd4-4179-af27-1b8f9a069f4e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}