{
  "id": "0807.2161",
  "version": "v2",
  "published": "2008-07-14T13:21:42.000Z",
  "updated": "2008-07-16T10:16:10.000Z",
  "title": "Classical tensors from quantum states",
  "authors": [
    "P. Aniello",
    "G. Marmo",
    "G. F. Volkert"
  ],
  "comment": "20 pages, submitted to Int. J. Geom. Meth. Modern Physics",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The embedding of a manifold M into a Hilbert-space H induces, via the pull-back, a tensor field on M out of the Hermitian tensor on H. We propose a general procedure to compute these tensors in particular for manifolds admitting a Lie-group structure.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-07-16T10:16:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "51P05",
      "81Q70"
    ],
    "keywords": [
      "quantum states",
      "classical tensors",
      "tensor field",
      "lie-group structure"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1142/S0219887809003576"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 791855,
      "adsabs": "2008arXiv0807.2161A"
    }
  }
}