{
  "annotation_id": "63e9c1db-80ce-4f8f-8191-92fca2ca2c76",
  "date_created": "2026-03-02T18:02:41.492000Z",
  "date_modified": "2026-03-02T18:02:41.492000Z",
  "file_hash": "da839eb87a5685ebbc018bef2a63dda7267fffaab2927a6d6f995e6bf90ad2b6",
  "private": false,
  "record": {
    "abstract": "The structure of representations describing systems of free particles in the\ntheory with the invariance group SO(1,4) is investigated. The property of the\nparticles to be free means as usual that the representation describing a\nmany-particle system is the tensor product of the corresponding single-particle\nrepresentations (i.e. no interaction is introduced). It is shown that the mass\noperator contains only continuous spectrum in the interval $(-\\infty,\\infty)$\nand such representations are unitarily equivalent to ones describing\ninteractions (gravitational, electromagnetic etc.). This means that there are\nno bound states in the theory and the Hilbert space of the many-particle system\ncontains a subspace of states with the following property: the action of free\nrepresentation operators on these states is manifested in the form of different\ninteractions. Possible consequences of the results are discussed.",
    "arxiv_id": "quant-ph/9805052",
    "authors": [
      "Felix M. Lev"
    ],
    "categories": [
      "quant-ph",
      "gr-qc"
    ],
    "doi": "10.1088/0305-4470/32/7/012",
    "journal_ref": "J.Phys.A32:1225-1239,1999",
    "title": "On the problem of interactions in quantum theory",
    "url": "https://arxiv.org/abs/quant-ph/9805052"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "14dfc4bd-c3e0-48bf-a7e2-8e8888e5e734",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}