{
  "id": "1009.0930",
  "version": "v1",
  "published": "2010-09-05T16:54:14.000Z",
  "updated": "2010-09-05T16:54:14.000Z",
  "title": "Singular inverse square potential in arbitrary dimensions with a minimal length: Application to the motion of a dipole in a cosmic string background",
  "authors": [
    "Djamil Bouaziz",
    "Michel Bawin"
  ],
  "comment": "12 pages",
  "journal": "Phys.Rev.A78:032110,2008",
  "doi": "10.1103/PhysRevA.78.032110",
  "categories": [
    "quant-ph",
    "gr-qc"
  ],
  "abstract": "We solve analytically the Schr\\\"odinger equation for the N-dimensional inverse square potential in quantum mechanics with a minimal length in terms of Heun's functions. We apply our results to the problem of a dipole in a cosmic string background. We find that a bound state exists only if the angle between the dipole moment and the string is larger than {\\pi}/4. We compare our results with recent conflicting conclusions in the literature. The minimal length may be interpreted as a radius of the cosmic string.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-09-05T16:54:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.-w",
      "11.27.+d",
      "98.80.Cq",
      "02.40.Gh"
    ],
    "keywords": [
      "singular inverse square potential",
      "cosmic string background",
      "minimal length",
      "arbitrary dimensions",
      "application"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2008,
      "month": "Sep",
      "volume": 78,
      "number": 3,
      "pages": "032110"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 867247,
      "adsabs": "2008PhRvA..78c2110B"
    }
  }
}