{
  "id": "cond-mat/0303290",
  "version": "v1",
  "published": "2003-03-15T19:21:55.000Z",
  "updated": "2003-03-15T19:21:55.000Z",
  "title": "Time Evolution In Macroscopic Systems. I: Equations of Motion",
  "authors": [
    "W. T. Grandy"
  ],
  "comment": "15 pages",
  "doi": "10.1023/B:FOOP.0000012007.06843.ed",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Time evolution of macroscopic systems is re-examined primarily through further analysis and extension of the equation of motion for the density matrix $\\rho(t)$. Because $\\rho$ contains both classical and quantum-mechanical probabilities it is necessary to account for changes in both in the presence of external influences, yet standard treatments tend to neglect the former. A model of time-dependent classical probabilities is presented to illustrate the required type of extension to the conventional time-evolution equation, and it is shown that such an extension is already contained in the definition of the density matrix.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-03-15T19:21:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "time evolution",
      "macroscopic systems",
      "density matrix",
      "conventional time-evolution equation",
      "standard treatments tend"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}