{
  "annotation_id": "a8a88c31-dc2f-4ecd-a9f8-b14fecf5d96c",
  "date_created": "2026-03-02T18:02:20.487000Z",
  "date_modified": "2026-03-02T18:02:20.487000Z",
  "file_hash": "1151420a2db22ae544b672a394d925e725c8cdfc9db9dafd9a819870764869f5",
  "private": false,
  "record": {
    "abstract": "The eigenvalue problem for the dressed bound-state of unstable multilevel\nsystems is examined both outside and inside the continuum, based on the N-level\nFriedrichs model which describes the couplings between the discrete levels and\nthe continuous spectrum. It is shown that a bound-state eigenenergy always\nexists below each of the discrete levels that lie outside the continuum.\nFurthermore, by strengthening the couplings gradually, the eigenenergy\ncorresponding to each of the discrete levels inside the continuum finally\nemerges. On the other hand, the absence of the eigenenergy inside the continuum\nis proved in weak but finite coupling regimes, provided that each of the form\nfactors that determine the transition between some definite level and the\ncontinuum does not vanish at that energy level. An application to the\nspontaneous emission process for the hydrogen atom interacting with the\nelectromagnetic field is demonstrated.",
    "arxiv_id": "quant-ph/0510058",
    "authors": [
      "Manabu Miyamoto"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.063405",
    "title": "Bound-state eigenenergy outside and inside the continuum for unstable   multilevel systems",
    "url": "https://arxiv.org/abs/quant-ph/0510058"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "34bf196c-e03c-4ecf-8abb-2275c5518168",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}