{
  "annotation_id": "84b68ca8-dfae-4332-add4-9373f75b1441",
  "date_created": "2026-03-02T18:01:59.402000Z",
  "date_modified": "2026-03-02T18:01:59.402000Z",
  "file_hash": "b2b4990305d4484dd611ce6165073b847ea3071dd0457810276565574fd86189",
  "private": false,
  "record": {
    "abstract": "The line shape of resonances in the overlapping regime is studied by using\nthe eigenvalues and eigenfunctions of the effective Hamiltonian of an open\nquantum system. A generalized expression $\\tilde q_k(E)$ for the Fano parameter\nof the resonance state $k$ is derived that contains the interaction of the\nstate $k$ with neighboured states $l\\ne k$ via the continuum. It is energy\ndependent since the coupling coefficients between the state $k$ and the\ncontinuum show a resonance-like behaviour at the energies of the neighboured\nstates $l\\ne k$. Under certain conditions, the energy dependent $\\tilde q_k(E)$\nare equivalent to the generalized complex energy independent Fano parameters\nthat are introduced by Kobayashi et al. in analyzing experimental data.\nLong-lived states appear mostly isolated from one another in the cross section,\nalso when they are overlapped by short-lived resonance states. The $\\tilde\nq_k(E)$ of narrow resonances allow therefore to study the complicated interplay\nbetween different time scales in the regime of overlapping resonance states by\ncontrolling them as a function of an external parameter.",
    "arxiv_id": "quant-ph/0305064",
    "authors": [
      "A. I. Magunov",
      "I. Rotter",
      "S. I. Strakhova"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevB.68.245305",
    "title": "Fano resonances in the overlapping regime",
    "url": "https://arxiv.org/abs/quant-ph/0305064"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fcb9c7a8-c955-4324-9649-d93b995659aa",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}