{
  "id": "0907.1877",
  "version": "v1",
  "published": "2009-07-10T17:38:54.000Z",
  "updated": "2009-07-10T17:38:54.000Z",
  "title": "On the Ehrenfest theorem of quantum mechanics",
  "authors": [
    "Gero Friesecke",
    "Mario Koppen"
  ],
  "comment": "To appear in J. Math. Phys",
  "categories": [
    "math-ph",
    "math.FA",
    "math.MP"
  ],
  "abstract": "We give a mathematically rigorous derivation of Ehrenfest's equations for the evolution of position and momentum expectation values, under general and natural assumptions which include atomic and molecular Hamiltonians with Coulomb interactions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-07-10T17:38:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B25",
      "47A60",
      "81S05",
      "81V55",
      "03.65.Ge"
    ],
    "keywords": [
      "quantum mechanics",
      "ehrenfest theorem",
      "momentum expectation values",
      "ehrenfests equations",
      "natural assumptions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1063/1.3191679",
      "journal": "Journal of Mathematical Physics",
      "year": 2009,
      "month": "Aug",
      "volume": 50,
      "number": 8,
      "pages": 2102
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009JMP....50h2102F"
    }
  }
}