{
  "id": "1710.01154",
  "version": "v1",
  "published": "2017-10-02T16:46:22.000Z",
  "updated": "2017-10-02T16:46:22.000Z",
  "title": "On the motion of macroscopic bodies in quantum theory",
  "authors": [
    "Alexey A. Kryukov"
  ],
  "journal": "Journal of Mathematical Physics 58, 082103 (2017)",
  "doi": "10.1063/1.4990008",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Quantum observables can be identified with vector fields on the sphere of normalized states. The resulting vector representation is used in the paper to undertake a simultaneous treatment of macroscopic and microscopic bodies in quantum mechanics. Components of the velocity and acceleration of state under Schr\\\"odinger evolution are given for a clear physical interpretation. Solutions to Schr\\\"odinger and Newton equations are shown to be related beyond the Ehrenfest results on the motion of averages. A formula relating the normal probability distribution and the Born rule is found.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-02T16:46:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum theory",
      "macroscopic bodies",
      "normal probability distribution",
      "vector fields",
      "resulting vector representation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "J. Math. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}