{
  "id": "1009.0935",
  "version": "v1",
  "published": "2010-09-05T17:40:00.000Z",
  "updated": "2010-09-05T17:40:00.000Z",
  "title": "Hydrogen atom in momentum space with a minimal length",
  "authors": [
    "Djamil Bouaziz",
    "Nourredine Ferkous"
  ],
  "comment": "10 pages",
  "journal": "Phys.Rev.A82:022105,2010",
  "doi": "10.1103/PhysRevA.82.022105",
  "categories": [
    "quant-ph",
    "gr-qc",
    "hep-ph"
  ],
  "abstract": "A momentum representation treatment of the hydrogen atom problem with a generalized uncertainty relation,which leads to a minimal length ({\\Delta}X_{i})_{min}= \\hbar \\sqrt(3{\\beta}+{\\beta}'), is presented. We show that the distance squared operator can be factorized in the case {\\beta}'=2{\\beta}. We analytically solve the s-wave bound-state equation. The leading correction to the energy spectrum caused by the minimal length depends on \\sqrt{\\beta}. An upper bound for the minimal length is found to be about 10^{-9} fm.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-09-05T17:40:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "02.40.Gh",
      "03.65.Ca",
      "03.65.Ge"
    ],
    "keywords": [
      "momentum space",
      "hydrogen atom problem",
      "momentum representation treatment",
      "s-wave bound-state equation",
      "minimal length depends"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2010,
      "month": "Aug",
      "volume": 82,
      "number": 2,
      "pages": "022105"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 867245,
      "adsabs": "2010PhRvA..82b2105B"
    }
  }
}