{
  "annotation_id": "ab2506c3-9409-47ba-ad0e-f2fcc94c34fb",
  "date_created": "2026-03-02T18:02:17.251000Z",
  "date_modified": "2026-03-02T18:02:17.251000Z",
  "file_hash": "bfbd66e9b86d4d86e67be99f94c64fdc79c0076e70dc9e0ed6d542bb3afbfbaf",
  "private": false,
  "record": {
    "abstract": "The paper contains a proposal for an energy and time representation. We\nconstruct modes that correspond to fuzzy distributions around discrete values\nof energy or time. The modes form an orthogonal and complete set in the space\nof square integrable functions. Energy and time are self adjoint in the space\nspanned by the modes. The widths of the modes are analyzed as well as their\nenergy-time uncertainty relations. The lower uncertainty attainable for the\nmodes is shown. We also show times of arrival for massless particles.",
    "arxiv_id": "quant-ph/0505141",
    "authors": [
      "Lucas Lamata",
      "Juan Leon"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Concepts Phys. 2 (2005) 49",
    "title": "A time representation",
    "url": "https://arxiv.org/abs/quant-ph/0505141"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8496b370-f756-467d-b25e-dcddd6b543cc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}