{
  "annotation_id": "0f7eee25-bd89-4952-995c-ecab5e97b953",
  "date_created": "2026-03-02T18:01:45.338000Z",
  "date_modified": "2026-03-02T18:01:45.338000Z",
  "file_hash": "f1cd3b52135146b3204aa076ffeea47dc1adb653ee327eb8d2f4c945af7921d8",
  "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.\n  In the present, second, part of our investigation, we consider a covariant\napproach to bundle description of relativistic quantum mechanics.\n  In it the wavefunctions are replaced with (state) sections of a suitably\nchosen vector bundle over space-time whose (standard) fibre is the space of the\nwavefunctions. Now the quantum evolution is described as a linear\ntransportation (by means of the transport along the identity map of the\nspace\\nobreakdash-time) of the state sections in the (total) bundle space.\nConnections between the (retarded) Green functions of the relativistic wave\nequations and the evolution operators and transports are found. Especially the\nDirac and Klein-Gordon equations are considered.",
    "arxiv_id": "quant-ph/0107002",
    "authors": [
      "Bozhidar Z. Iliev"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "title": "Fibre bundle formulation of relativistic quantum mechanics. II.   Covariant approach",
    "url": "https://arxiv.org/abs/quant-ph/0107002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "081a88ea-7e5a-4b1c-b2fc-b6fec2ffcfee",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}