{
  "annotation_id": "6a17c577-efa5-4821-b260-57a300262d2e",
  "date_created": "2026-03-02T18:01:45.965000Z",
  "date_modified": "2026-03-02T18:01:45.965000Z",
  "file_hash": "35791c59628a5b6001b2cb3f5f72cb2f7b9176e4368e33c7e104c87d8ef902a1",
  "private": false,
  "record": {
    "abstract": "A relation between the eigenvalues of an effective Hamilton operator and the\npoles of the $S$ matrix is derived which holds for isolated as well as for\noverlapping resonance states. The system may be a many-particle quantum system\nwith two-body forces between the constituents or it may be a quantum billiard\nwithout any two-body forces. Avoided crossings of discrete states as well as of\nresonance states are traced back to the existence of branch points in the\ncomplex plane. Under certain conditions, these branch points appear as double\npoles of the $S$ matrix. They influence the dynamics of open as well as of\nclosed quantum systems. The dynamics of the two-level system is studied in\ndetail analytically as well as numerically.",
    "arxiv_id": "quant-ph/0105068",
    "authors": [
      "I. Rotter"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevE.64.036213",
    "journal_ref": "Phys.Rev.E64:036213,2001",
    "title": "Dynamics of quantum systems",
    "url": "https://arxiv.org/abs/quant-ph/0105068"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cd674a47-d416-4dc4-a9b5-1e97a77a85e5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}