{
  "annotation_id": "bee04c40-0514-4b4e-ab26-96112193c52d",
  "date_created": "2026-03-02T18:02:48.520000Z",
  "date_modified": "2026-03-02T18:02:48.520000Z",
  "file_hash": "6699d1539e827c7c73a702e5fa8aaa24d466dd2e89ec81b0f907570c5d321bc5",
  "private": false,
  "record": {
    "abstract": "We develop the widest possible generalisation of the well-known connection\nbetween quantum mechanical Bargmann invariants and geometric phases. The key\nnotion is that of null phase curves in quantum mechanical ray and Hilbert\nspaces. Examples of such curves are developed. Our generalisation is shown to\nbe essential to properly understand geometric phase results in the cases of\ncoherent states and of Gaussian states. Differential geometric aspects of null\nphase curves are also briefly explored.",
    "arxiv_id": "quant-ph/9907080",
    "authors": [
      "Eqab M. Rabei",
      "Arvind",
      "R. Simon",
      "N. Mukunda"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.60.3397",
    "journal_ref": "Phys.Rev.A60:3397,1999",
    "title": "Bargmann Invariants and Geometric Phases - a Generalised Connection",
    "url": "https://arxiv.org/abs/quant-ph/9907080"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0fc2b9f4-88e0-440b-945e-7dd596ab69c2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}