{
  "id": "math/0512510",
  "version": "v1",
  "published": "2005-12-21T21:48:13.000Z",
  "updated": "2005-12-21T21:48:13.000Z",
  "title": "On the General Form of Quantum Stochastic Evolution Equation",
  "authors": [
    "V. P. Belavkin"
  ],
  "comment": "12 pages. See also relevant papers at http://www.maths.nott.ac.uk/personal/vpb/research/mar_dyn.html and http://www.maths.nott.ac.uk/personal/vpb/research/fil_con.html",
  "journal": "Stochastic Analysis and Applications 91--106, World Scientific, Singapore, 1996",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "A characterisation of the quantum stochastic bounded generators of irreversible quantum state evolutions is given. This suggests the general form of quantum stochastic evolution equation with respect to the Poisson (jumps), Wiener (diffusion) or general Quantum Noise. The corresponding irreversible Heisenberg evolution in terms of stochastic completely positive (CP) cocycles is also characterized and the general form of the stochastic completely dissipative (CD) operator equation is discovered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-12-21T21:48:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum stochastic evolution equation",
      "general form",
      "general quantum noise",
      "quantum stochastic bounded generators",
      "irreversible quantum state evolutions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....12510B"
    }
  }
}