{
  "annotation_id": "8a635f1b-4799-4039-b1e7-037b73e69267",
  "date_created": "2026-03-02T18:02:31.247000Z",
  "date_modified": "2026-03-02T18:02:31.247000Z",
  "file_hash": "36e0b0a92d935dab574066ccc347bee7878aaeebf7ec8fa738eba0f45e5db6f0",
  "private": false,
  "record": {
    "abstract": "The long time behavior of the reduced time evolution operator for unstable\nmultilevel systems is studied based on the N-level Friedrichs model in the\npresence of a zero energy resonance.The latter means the divergence of the\nresolvent at zero energy. Resorting to the technique developed by Jensen and\nKato [Duke Math. J. 46, 583 (1979)], the zero energy resonance of this model is\ncharacterized by the zero energy eigenstate that does not belong to the Hilbert\nspace. It is then shown that for some kinds of the rational form factors the\nlogarithmically slow decay of the reduced time evolution operator can be\nrealized.",
    "arxiv_id": "quant-ph/0609177",
    "authors": [
      "Manabu Miyamoto"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.2227260",
    "journal_ref": "J. Math. Phys. 47, 082103 (2006)",
    "title": "Zero energy resonance and the logarithmically slow decay of unstable   multilevel systems",
    "url": "https://arxiv.org/abs/quant-ph/0609177"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "69ab0593-f12e-4ad3-b626-4e463a27c2ef",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}