{
  "id": "0711.1442",
  "version": "v4",
  "published": "2007-11-09T11:31:57.000Z",
  "updated": "2011-04-14T05:48:41.000Z",
  "title": "Nonlinear theory of quantum Brownian motion",
  "authors": [
    "Roumen Tsekov"
  ],
  "journal": "Int. J. Theor. Phys. 48 (2009) 85-94",
  "doi": "10.1007/s10773-008-9784-0",
  "categories": [
    "quant-ph",
    "cond-mat.stat-mech"
  ],
  "abstract": "A nonlinear theory of quantum Brownian motion in classical environment is developed based on a thermodynamically enhanced nonlinear Schrodinger equation. The latter is transformed via the Madelung transformation into a nonlinear quantum Smoluchowski-like equation, which is proven to reproduce key results from quantum and classical physics. The application of the theory to a free quantum Brownian particle results in a nonlinear dependence of the position dispersion on time, being quantum generalization of the Einstein law of Brownian motion. It is shown that the time of decoherence for the transition from quantum to classical diffusion is proportional to the square of the thermal de Broglie wavelength divided by the Einstein diffusion constant.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2011-04-14T05:48:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum brownian motion",
      "nonlinear theory",
      "free quantum brownian particle results",
      "einstein diffusion constant",
      "thermodynamically enhanced nonlinear schrodinger equation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "International Journal of Theoretical Physics",
      "year": 2009,
      "month": "Jan",
      "volume": 48,
      "number": 1,
      "pages": 85
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009IJTP...48...85T"
    }
  }
}