{
  "id": "0906.1028",
  "version": "v1",
  "published": "2009-06-05T02:03:19.000Z",
  "updated": "2009-06-05T02:03:19.000Z",
  "title": "Spectral representation of infimum of bounded quantum observables",
  "authors": [
    "Shen Jun",
    "Wu Junde"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In 2006, Gudder introduced a logic order on bounded quantum observable set $S(H)$. In 2007, Pulmannova and Vincekova proved that for each subset $\\cal D$ of $S(H)$, the infimum of $\\cal D$ exists with respect to this logic order. In this paper, we present the spectral representation for the infimum of $\\cal D$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-05T02:03:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Fd",
      "02.10.Ab"
    ],
    "keywords": [
      "spectral representation",
      "logic order",
      "bounded quantum observable set",
      "pulmannova"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1063/1.3253609",
      "journal": "Journal of Mathematical Physics",
      "year": 2009,
      "month": "Nov",
      "volume": 50,
      "number": 11,
      "pages": 3501
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009JMP....50k3501J"
    }
  }
}