{
  "annotation_id": "bfdee3fb-f0f2-46c6-a8e5-6937b921c2c2",
  "date_created": "2026-03-02T18:02:41.735000Z",
  "date_modified": "2026-03-02T18:02:41.735000Z",
  "file_hash": "8499ebf48d829b39c95583f3f388cc12394202469e3d045ec394ba8fbf18df1e",
  "private": false,
  "record": {
    "abstract": "We propose a version of the non-relativistic quantum mechanics in which the\npure states of a quantum system are described as sections of a Hilbert\n(generally infinitely-dimensional) fibre bundle over the space-time. There\nevolution is governed via (a kind of) a parallel transport in this bundle. Some\nproblems concerning observables are considered. There are derived the equations\nof motion for the state sections and observables. We show that up to a constant\nthe matrix of the coefficients of the evolution operator (transport) coincides\nwith the matrix of the Hamiltonian of the investigated quantum system.",
    "arxiv_id": "quant-ph/9803083",
    "authors": [
      "Bozhidar Z. Iliev"
    ],
    "categories": [
      "quant-ph",
      "gr-qc",
      "hep-th",
      "math.DG",
      "math.GT"
    ],
    "doi": "10.1088/0305-4470/31/4/017",
    "journal_ref": "J.Phys.A31:1297-1305,1998",
    "title": "Fibre bundle formulation of nonrelativistic quantum mechanics. 0.   Preliminary considerations: Quantum mechanics from a geometric-observer\u0027s   viewpoint",
    "url": "https://arxiv.org/abs/quant-ph/9803083"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4cc68868-45f2-4c29-9b3c-5a0e97504946",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}