{
  "annotation_id": "a2113034-babe-401d-88ec-5032283c550f",
  "date_created": "2026-03-02T18:02:48.370000Z",
  "date_modified": "2026-03-02T18:02:48.370000Z",
  "file_hash": "56cec14bba27e2f9a4d9dbd5b132bde07371eae7ec3f31370d893513a0e833bb",
  "private": false,
  "record": {
    "abstract": "There exists the well known approximate expression describing the large time\nbehaviour of matrix elements of the evolution operator in quantum theory:\n\u003cU(t)\u003e=exp(at)+... This expression plays the crucial role in considerations of\nproblems of quantum decoherence, radiation, decay, scattering theory,\nstochastic limit, derivation of master and kinetic equations etc. This\nexpression was obtained in the Weisskopf-Wigner approximation and in the van\nHove (stochastic) limit. We derive the exact general formula which includes the\nhigher order corrections to the above approximate expression:\n\u003cU(t)\u003e=exp(At+B+C(t)). The constants A and B and the oscillating function C(t)\nare computed in perturbation theory. The method of perturbation of spectra and\nrenormalized wave operators is used. The formula is valid for a general class\nof Hamiltonians used in statistical physics and quantum field theory.",
    "arxiv_id": "quant-ph/9906022",
    "authors": [
      "I. Ya. Aref\u0027eva",
      "I. V. Volovich"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "title": "Quantum Decoherence and Higher Order Corrections to the Large Time   Exponential Behaviour",
    "url": "https://arxiv.org/abs/quant-ph/9906022"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e7840460-ba18-4a18-93a4-ca362955c81c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}