{
  "id": "1209.4583",
  "version": "v1",
  "published": "2012-09-20T17:07:35.000Z",
  "updated": "2012-09-20T17:07:35.000Z",
  "title": "Geometrical description of algebraic structures: Applications to Quantum Mechanics",
  "authors": [
    "José F. Cariñena",
    "Alberto Ibort",
    "Giuseppe Marmo",
    "Giuseppe Morandi"
  ],
  "comment": "Old paper (2009) posted for archival purposes",
  "journal": "In the book: Geometry and Physics, AIP Conference Proceedings Series, 1130, pp. 47--59, F. Etayo, M. Fioravanti and R. Santamar\\'{\\i}a eds, (2009)",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Geometrization of physical theories have always played an important role in their analysis and development. In this contribution we discuss various aspects concerning the geometrization of physical theories: from classical mechanics to quantum mechanics. We will concentrate our attention into quantum theories and we will show how to use in a systematic way the transition from algebraic to geometrical structures to explore their geometry, mainly its Jordan-Lie structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-20T17:07:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "45.20.Jj",
      "02.40.Yy",
      "03.65.Ca",
      "04.60.-m",
      "02.30.Jr",
      "03.65.Pm",
      "02.10.Yn"
    ],
    "keywords": [
      "quantum mechanics",
      "algebraic structures",
      "geometrical description",
      "applications",
      "physical theories"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "AIP Conf. Proc.",
      "doi": "10.1063/1.3146238"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1187551,
      "adsabs": "2009AIPC.1130...47C"
    }
  }
}