{
  "annotation_id": "1d8eda1d-d724-4450-8b13-b97b156daae1",
  "date_created": "2026-03-02T18:02:40.783000Z",
  "date_modified": "2026-03-02T18:02:40.783000Z",
  "file_hash": "2b09ab20cec1c869ae705f8030cf9344876ab36f063a8cab4717ed8d250f662c",
  "private": false,
  "record": {
    "abstract": "In the framework of the rigged Hilbert space, unstable quantum systems\nassociated with first order poles of the analytically continued S-matrix can be\ndescribed by Gamow vectors which are generalized vectors with exponential decay\nand a Breit-Wigner energy distribution. This mathematical formalism can be\ngeneralized to quasistationary systems associated with higher order poles of\nthe S-matrix, which leads to a set of Gamow vectors of higher order with a\nnon-exponential time evolution. One can define a state operator from the set of\nhigher order Gamow vectors which obeys the exponential decay law. We shall\ndiscuss to what extend the requirement of an exponential time evolution\ndetermines the form of the state operator for a quasistationary microphysical\nsystem associated with a higher order pole of the S-matrix.",
    "arxiv_id": "quant-ph/9705010",
    "authors": [
      "A. Bohm",
      "M. Loewe",
      "P. Patuleanu",
      "C. Puntmann"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/BF02550171",
    "title": "Jordan Blocks and Exponentially Decaying Higher Order Gamow States",
    "url": "https://arxiv.org/abs/quant-ph/9705010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "35f0c6a3-a187-48ff-9369-aa930c4050a0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}