{
  "annotation_id": "b8229695-9ec9-4d15-9fc8-5f312cfb51e2",
  "date_created": "2026-03-02T18:01:55.802000Z",
  "date_modified": "2026-03-02T18:01:55.802000Z",
  "file_hash": "d61899040a523133c6e415f47edcfbb0dd3eadc8d5a7006856e99bd278f0afad",
  "private": false,
  "record": {
    "abstract": "A slight modification of one axiom of quantum theory changes a reversible\ntheory into a time asymmetric theory. Whereas the standard Hilbert space axiom\ndoes not distinguish mathematically between the space of states (in-states of\nscattering theory) and the space of observables (out-``states\u0027\u0027 of scattering\ntheory) the new axiom associates states and observables to two different Hardy\nsubspaces which are dense in the same Hilbert space and analytic in the lower\nand upper complex energy plane, respectively. As a consequence of this new\naxiom the dynamical equations (Schr\\\"{o}dinger or Heisenberg) integrate to a\nsemigroup evolution. Extending this new Hardy space axiom to a relativistic\ntheory provides a relativistic theory of resonance scattering and decay with\nBorn probablilities that fulfill Einstein causality and the exponential decay\nlaw.",
    "arxiv_id": "quant-ph/0212130",
    "authors": [
      "A. Bohm",
      "Mark Loewe",
      "Bryan Van de Ven"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1002/prop.200310073",
    "journal_ref": "Fortsch.Phys.51:551-568,2003",
    "title": "Time Asymmetric Quantum Theory - I Modifying an Axiom of Quantum Physics",
    "url": "https://arxiv.org/abs/quant-ph/0212130"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1152c08b-29d2-4b09-9940-182d555c5757",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}