{
  "annotation_id": "59d35893-58ad-4dde-b619-0645e553aebd",
  "date_created": "2026-03-02T18:01:49.554000Z",
  "date_modified": "2026-03-02T18:01:49.554000Z",
  "file_hash": "87b8545cd5d4ece529add3b8c40972b1135a72b941b439da423df571a6f1be02",
  "private": false,
  "record": {
    "abstract": "We propose a 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. In the bundle description the\nwavefunctions are replaced with (state) sections (covariant approach) or\nliftings of paths (equivalently: sections along paths) (time-dependent\napproach) of a suitably chosen vector bundle over space-time whose (standard)\nfibre is the space of the wavefunctions. Now the quantum evolution is described\nas a linear transportation of the state sections/liftings in the (total) bundle\nspace. The equations of these transportations turn to be the bundle versions of\nthe corresponding relativistic wave equations. Connections between the\n(retarded) Green functions of these equations and the evolution operators and\ntransports are found. Especially the Dirac and Klein-Gordon equations are\nconsidered.",
    "arxiv_id": "quant-ph/0201085",
    "authors": [
      "Bozhidar Z. Iliev"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "title": "Fibre bundle formulation of relativistic quantum mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0201085"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e8cfbd74-4147-427b-95ea-ce918db8ee72",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}