{
  "annotation_id": "147a3e62-b3db-49c3-816d-53834a180d08",
  "date_created": "2026-03-02T18:02:41.161000Z",
  "date_modified": "2026-03-02T18:02:41.161000Z",
  "file_hash": "0984de003c160b95b4cda84f60cae8b113e09305dd5d161cc884e01fa29e2c00",
  "private": false,
  "record": {
    "abstract": "We study the behaviour of the geometric phase under isometries of the ray\nspace. This leads to a better understanding of a theorem first proved by\nWigner: isometries of the ray space can always be realised as projections of\nunitary or anti-unitary transformations on the Hilbert space. We suggest that\nthe construction involved in Wigner\u0027s proof is best viewed as an use of the\nPancharatnam connection to ``lift\u0027\u0027 a ray space isometry to the Hilbert space.",
    "arxiv_id": "quant-ph/9705019",
    "authors": [
      "Joseph Samuel"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/BF02847455",
    "title": "The Geometric Phase and Ray Space Isometries",
    "url": "https://arxiv.org/abs/quant-ph/9705019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0ad4cc89-d92f-4d09-b985-9e8113d1f4a5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}