{
  "annotation_id": "0bc0e330-fdea-4fea-b2b1-73612ded83b9",
  "date_created": "2026-03-02T18:02:34.492000Z",
  "date_modified": "2026-03-02T18:02:34.492000Z",
  "file_hash": "e8314da83d1676dfcaa7199f294d7941d00bf1f62d3fa8c1ca027ef20637e1d3",
  "private": false,
  "record": {
    "abstract": "The semigroup decomposition formalism makes use of the functional model for\n$C_{.0}$ class contractive semigroups for the description of the time evolution\nof resonances. For a given scattering problem the formalism allows for the\nassociation of a definite Hilbert space state with a scattering resonance. This\nstate defines a decomposition of matrix elements of the evolution into a term\nevolving according to a semigroup law and a background term. We discuss the\ncase of multiple resonances and give a bound on the size of the background\nterm. As an example we treat a simple problem of scattering from a square\nbarrier potential on the half-line.",
    "arxiv_id": "quant-ph/0612027",
    "authors": [
      "Y. Strauss",
      "L. P. Horwitz",
      "A. Volovick"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.2383069",
    "title": "Approximate resonance states in the semigroup decomposition of resonance   evolution",
    "url": "https://arxiv.org/abs/quant-ph/0612027"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "71f86f80-0e02-4f51-a3a2-a14eccfec00e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}