{
  "annotation_id": "8ce334a6-afb5-4d50-9a00-1ff6fc1186c2",
  "date_created": "2026-03-02T18:01:42.311000Z",
  "date_modified": "2026-03-02T18:01:42.311000Z",
  "file_hash": "b16b0dd499e86670ab1720746ab8a39ec248c08230ff269b9b6883432491f003",
  "private": false,
  "record": {
    "abstract": "It is proposed the scheme of quantum mechanics, in which a Hilbert space and\nthe linear operators are not primary elements of the theory. Instead of it\ncertain variant of the algebraic approach is considered. The elements of\nnoncommutative algebra (observables) and the nonlinear functionals on this\nalgebra (physical states) are used as the primary constituents. The functionals\nassociate with results of a particular measurement. It is suggested to consider\ncertain ensembles of the physical states as quantum states of the standart\nquantum mechanics. It is shown that in such scheme the mathematical formalism\nof the standart quantum mechanics can be reproduced completely.",
    "arxiv_id": "quant-ph/0101139",
    "authors": [
      "D. A. Slavnov"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "title": "Algebraic-statistical approach to quantum mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0101139"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1241c3ab-a3e2-415f-9904-9463cf0bcd83",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}