{
  "annotation_id": "2f6336d1-25be-476e-9a4e-306848a515bc",
  "date_created": "2026-03-02T18:01:44.799000Z",
  "date_modified": "2026-03-02T18:01:44.799000Z",
  "file_hash": "a2be2c216442e15c57ad871a3128fc3e2fe889660e11fc30684f41d7f84999f8",
  "private": false,
  "record": {
    "abstract": "We propose a new fibre bundle formulation of the mathematical base of\nrelativistic quantum mechanics. At the present stage the bundle form of the\ntheory is equivalent to its conventional one, but it admits new types of\ngeneralizations in different directions.\n  In the present first part of our investigation we consider the time-dependent\nor Hamiltonian approach to bundle description of relativistic quantum\nmechanics. In it the wavefunctions are replaced by (state) liftings of paths or\nsections along paths of a suitably chosen vector bundle over space-time whose\n(standard) fibre is the space of the wavefunctions. Now the quantum evolution\nis described as a linear transportation (by means of the evolution transport\nalong paths in the space-time) of the state liftings/sections in the (total)\nbundle space. The equations of these transportations turn to be the bundle\nversions of the corresponding relativistic wave equations.",
    "arxiv_id": "quant-ph/0105056",
    "authors": [
      "Bozhidar Z. Iliev"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1238/Physica.Regular.068a00022",
    "journal_ref": "Phys.Scripta 68 (2003) 22-31",
    "title": "Fibre bundle formulation of relativistic quantum mechanics. I.   Time-dependent approach",
    "url": "https://arxiv.org/abs/quant-ph/0105056"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3f1ac7a2-444e-45f4-ad7b-46cfaff3c764",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}