{
  "annotation_id": "9d1345b0-f761-45c9-87e5-df52f6f1144c",
  "date_created": "2026-03-02T18:02:10.385000Z",
  "date_modified": "2026-03-02T18:02:10.385000Z",
  "file_hash": "146e5f5328b86c3d6d0e28e0b9630ddd85151051498efa82c9f1429797d42059",
  "private": false,
  "record": {
    "abstract": "We derive reciprocal integral relations between phases and amplitude moduli\nfor a class of wave functions that are cyclically varying in time. The\nrelations imply that changes of a certain kind (e.g. not arising from the\ndynamic phase) obligate changes in the other. Numerical results indicate the\napproximate validity of the relationships for arbitrarily (non-cyclically)\nvarying states in the adiabatic (slowly changing) limit.",
    "arxiv_id": "quant-ph/0406218",
    "authors": [
      "R. Englman",
      "A. Yahalom",
      "M. Baer"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(98)00897-4",
    "journal_ref": "Physics Letters A, 251, 223-228 (1999)",
    "title": "Phase-Modulus Relations in Cyclic Wave Functions",
    "url": "https://arxiv.org/abs/quant-ph/0406218"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e1485abb-9384-4831-9152-d25d323fbb69",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}