{
  "id": "0903.5458",
  "version": "v1",
  "published": "2009-03-31T13:24:02.000Z",
  "updated": "2009-03-31T13:24:02.000Z",
  "title": "$O^\\star$-algebras and quantum dynamics: some existence results",
  "authors": [
    "Fabio Bagarello"
  ],
  "journal": "J. Math. Phys., 49 (2008)",
  "doi": "10.1063/1.2919067",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We discuss the possibility of defining an algebraic dynamics within the settings of $O^\\star$-algebras. Compared with our previous results on this subject, the main improvement here is that we are not assuming the existence of some hamiltonian for the {\\em full} physical system. We will show that, under suitable conditions, the dynamics can still be defined via some limiting procedure starting from a given {\\em regularized sequence}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-31T13:24:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum dynamics",
      "existence results",
      "algebraic dynamics",
      "main improvement",
      "possibility"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "J. Math. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.5458B"
    }
  }
}