{
  "annotation_id": "61385b81-841c-4247-9ddb-9aafdc70665a",
  "date_created": "2026-03-02T18:01:45.467000Z",
  "date_modified": "2026-03-02T18:01:45.467000Z",
  "file_hash": "5b4594cbae03cc73f1971006e5b8545d7bad99db1b1a1342696f7bc1158ed0c6",
  "private": false,
  "record": {
    "abstract": "We describe all the localization observables of a quantum particle in a\none-dimensional box in terms of sequences of unit vectors in a Hilbert space.\nAn alternative representation in terms of positive semidefinite complex\nmatrices is furnished and the commutative localizations are singled out. As a\nconsequence, we also get a vector sequence characterization of the covariant\nphase observables.",
    "arxiv_id": "quant-ph/0105079",
    "authors": [
      "G. Cassinelli",
      "E. De Vito",
      "P. Lahti",
      "J. -P. Pellonpaa"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.1425958",
    "journal_ref": "J. Math. Phys. 43 (2002) 693-704",
    "title": "Covariant localizations in the torus and the phase observables",
    "url": "https://arxiv.org/abs/quant-ph/0105079"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d2b0314c-99ba-4353-aedd-278002b048e6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}