{
  "annotation_id": "285e5951-8776-4535-ab26-acdb78261094",
  "date_created": "2026-03-02T18:01:49.439000Z",
  "date_modified": "2026-03-02T18:01:49.439000Z",
  "file_hash": "9487e8fb32befff8cb5c3c84fea41958df1281c6beffa17f3d1dbcd753f150c3",
  "private": false,
  "record": {
    "abstract": "A structure of generator of a quantum dynamical semigroup for the dynamics of\na test particle interacting through collisions with the environment is\nconsidered, which has been obtained from a microphysical model. The related\nmaster-equation is shown to go over to a Fokker-Planck equation for the\ndescription of Brownian motion at quantum level in the long wavelength limit.\nThe structure of this Fokker-Planck equation is expressed in this paper in\nterms of superoperators, giving explicit expressions for the coefficient of\ndiffusion in momentum in correspondence with two cases of interest for the\ninteraction potential. This Fokker-Planck equation gives an example of a\nphysically motivated generator of quantum dynamical semigroup, which serves as\na starting point for the theory of measurement continuous in time, allowing for\nthe introduction of trajectories in quantum mechanics. This theory had in fact\nalready been applied to the problem of Brownian motion referring to similar\nphenomenological structures obtained only on the basis of mathematical\nrequirements.",
    "arxiv_id": "quant-ph/0204133",
    "authors": [
      "Bassano Vacchini"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1023/B:IJTP.0000048635.55359.ae",
    "journal_ref": "Int. J. Theor. Phys. 43 (2004) 1515-1525",
    "title": "Dissipative Systems and Objective Description: Quantum Brownian Motion   as an Example",
    "url": "https://arxiv.org/abs/quant-ph/0204133"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "db509ed9-f18d-4635-a6a4-7d23190e4f99",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}