{
  "id": "math/0603627",
  "version": "v2",
  "published": "2006-03-27T16:46:03.000Z",
  "updated": "2007-07-24T14:14:34.000Z",
  "title": "Scattering length for stable processes",
  "authors": [
    "B. Siudeja"
  ],
  "comment": "preprint",
  "categories": [
    "math.PR"
  ],
  "abstract": "Let $\\alpha\\in(0,2)$ and $X_t$ be a symmetric $\\alpha$-stable process. We define the scattering length $\\Gamma(v)$ of the positive potential $v$ and prove several of its basic properties. We use the scattering length to findestimates for the first eigenvalue of the Schr\\\"odinger operator of the ``Neumann'' fractional Laplacian in a cube with potential $v$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-07-24T14:14:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G52",
      "31C15"
    ],
    "keywords": [
      "scattering length",
      "stable processes",
      "basic properties",
      "first eigenvalue",
      "fractional laplacian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......3627S"
    }
  }
}