{
  "annotation_id": "6f1f4fbe-02ad-488a-b1d8-7f2028b036de",
  "date_created": "2026-03-02T18:02:31.096000Z",
  "date_modified": "2026-03-02T18:02:31.096000Z",
  "file_hash": "d4448b4835bd3bbeb560ec2eb2beafcfcbc4622945fbda1f9c8682cd83e44e5b",
  "private": false,
  "record": {
    "abstract": "In this work we consider non-relativistic quantum mechanics, obtained from a\nclassical configuration space Q of indistinguishable particles. Following an\napproach proposed by one of the authors, wave functions are regarded as\nelements of suitable projective modules over C(Q). We take furthermore into\naccount the G-Theory point of view, where the role of group action is\nparticularly emphasized. As an example illustrating the method, the case of two\nparticles is worked out in detail. Previous works aiming at a proof of a\nspin-statistics theorem for non-relativistic quantum mechanics are\nre-considered from the point of view of our approach, enabling us to clarify\nseveral points.",
    "arxiv_id": "quant-ph/0608125",
    "authors": [
      "N. A. Papadopoulos",
      "M. Paschke",
      "A. F. Reyes-Lega",
      "F. Scheck"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Annales Mathematiques Blaise Pascal 11, 205-220 (2004)",
    "title": "The spin-statistics relation in nonrelativistic quantum mechanics and   projective modules",
    "url": "https://arxiv.org/abs/quant-ph/0608125"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bb87fa2a-7890-4ed8-be6f-f08b95b624fc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}