{
  "annotation_id": "2227146b-6fff-4728-8581-53c73cd795e6",
  "date_created": "2026-03-02T18:02:10.386000Z",
  "date_modified": "2026-03-02T18:02:10.386000Z",
  "file_hash": "bf42778e14ede0e950ac0871ffa643df437bcce0b5b96d06258f4a630985e211",
  "private": false,
  "record": {
    "abstract": "For time (t) dependent wave functions we derive rigorous conjugate relations\nbetween analytic decompositions (in the complex t-plane) of the phases and of\nthe log moduli. We then show that reciprocity, taking the form of\nKramers-Kronig integral relations (but in the time domain), holds between\nobservable phases and moduli in several physically important instances. These\ninclude the nearly adiabatic (slowly varying) case, a class of cyclic\nwave-functions, wave packets and non-cyclic states in an \"expanding potential\".\nThe results exhibit the interdependence of geometric-phases and related decay\nprobabilities. Several known quantum mechanical theories possess the\nreciprocity property obtained in the paper.",
    "arxiv_id": "quant-ph/0406217",
    "authors": [
      "R. Englman",
      "A. Yahalom",
      "M. Baer"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Physical Review A, 60, 3, 1802-1810 (1999)",
    "title": "Reciprocity between Moduli and Phases in Time-Dependent Wave-Functions",
    "url": "https://arxiv.org/abs/quant-ph/0406217"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1eb27ad9-6f82-472c-ba56-79b1ede94623",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}