{
  "annotation_id": "0e759a84-be3c-4377-9ece-78690f49d4e7",
  "date_created": "2026-03-02T18:02:37.952000Z",
  "date_modified": "2026-03-02T18:02:37.952000Z",
  "file_hash": "2da9b50249267e9426a561a5606d35eab25940346ff0d6330830ec5d82f54dfd",
  "private": false,
  "record": {
    "abstract": "The scattering theory of Lax and Phillips, designed primarily for hyperbolic\nsystems, such as electromagnetic or acoustic waves, is described. This theory\nprovides a realization of the theorem of Foias and Nagy; there is a subspace of\nthe Hilbert space in which the unitary evolution of the system, restricted to\nthis subspace, is realized as a semigroup. The embedding of the quantum theory\ninto this structure, carried out by Flesia and Piron, is reviewed. We show how\nthe density matrix for an effectively pure state can evolve to an effectively\nmixed state (decoherence) in this framework. Necessary conditions are given for\nthe realization of the relation between the spectrum of the generator of the\nsemigroup and the singularities of the $S$-matrix (in energy representation).\nIt is shown that these conditions may be met in the Liouville space formulation\nof quantum evolution, and in the Hilbert space of relativistic quantum theory.",
    "arxiv_id": "quant-ph/9610025",
    "authors": [
      "L. P. Horwitz",
      "E. Eisenberg",
      "Y. Strauss"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Lax-Phillips Theory and Quantum Evolution",
    "url": "https://arxiv.org/abs/quant-ph/9610025"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8da2d642-e4be-4d84-95a1-413ed462c402",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}