{
  "annotation_id": "239e134e-3191-4256-a81c-1a334b6dec94",
  "date_created": "2026-03-02T18:02:38.054000Z",
  "date_modified": "2026-03-02T18:02:38.054000Z",
  "file_hash": "bac83890c6d103d7c2273a997139bd5bd7f0fc0e7e4abdf240b4ee1e5f4778dd",
  "private": false,
  "record": {
    "abstract": "We analyze a modified version of the Coleman-Hepp model, that is able to take\ninto account energy-exchange processes between the incoming particle and the\nlinear array made up of $N$ spin-1/2 systems. We bring to light the presence of\na Wiener dissipative process in the weak-coupling, macroscopic ($N \\rightarrow\n\\infty$) limit. In such a limit and in a restricted portion of the total\nHilbert space, the particle undergoes a sort of Brownian motion, while the free\nHamiltonian of the spin array serves as a Wiener process. No assumptions are\nmade on the spectrum of the Hamiltonian of the spin system, and no partial\ntrace is computed over its states. The mechanism of appearance of the\nstochastic process is discussed and contrasted to other noteworthy examples in\nthe literature. The links with van Hove\u0027s ``$\\lambda^2 T$ limits are\nemphasized.",
    "arxiv_id": "quant-ph/9608045",
    "authors": [
      "Raffaella Blasi",
      "Hiromichi Nakazato",
      "Mikio Namiki",
      "Saverio Pascazio"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1016/S0378-4371(97)00043-5",
    "title": "Emergence of a Wiener process as a result of the quantum mechanical   interaction with a macroscopic medium",
    "url": "https://arxiv.org/abs/quant-ph/9608045"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5102e7de-7501-4823-9acf-d7adb1968aaf",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}