{
  "annotation_id": "ac60967c-20fb-4bd3-99ac-feb0b0a7b77a",
  "date_created": "2026-03-02T18:02:38.021000Z",
  "date_modified": "2026-03-02T18:02:38.021000Z",
  "file_hash": "166bdfec289df40df27f7939d71e0f00b287aad2bfff1024c94d8d935e908f02",
  "private": false,
  "record": {
    "abstract": "Manifestly covariant formalism for Bargmann-Wigner fields is developed.\n  It is shown that there exists some freedom in the choice of the form of the\nBargmann-Wigner scalar product: The general product depends implicitly on a\nfamily of world-vectors. The standard choice of the product corresponds to\ntimelike and equal vectors which define a ``time\" direction. The generalized\nform shows that formulas are simpler if one chooses {\\it null\\/} directions.\nThis freedom is used to derive simple covariant formulas for momentum-space\nwave functions (generalized Wigner states) corresponding to arbitrary mass and\nspin and using eigenstates of the Pauli-Lubanski vector. The eigenstates which\nmake formulas the simplest correspond to projections of the Pauli-Lubanski\nvector on {\\it null\\/} directions. The new formulation is an alternative to the\nstandard helicity formalism.",
    "arxiv_id": "quant-ph/9601014",
    "authors": [
      "Marek Czachor"
    ],
    "categories": [
      "quant-ph",
      "gr-qc",
      "hep-th"
    ],
    "title": "Manifestly Covariant Approach to Bargmann-Wigner Fields (I): Generalized   scalar products and Wigner states",
    "url": "https://arxiv.org/abs/quant-ph/9601014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1224f152-b67d-4ed8-a86e-9111254eaaa5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}