{
  "id": "math-ph/0412042",
  "version": "v1",
  "published": "2004-12-14T12:33:49.000Z",
  "updated": "2004-12-14T12:33:49.000Z",
  "title": "Upper limit on the critical strength of central potentials in relativistic quantum mechanics",
  "authors": [
    "Fabian Brau"
  ],
  "comment": "8 pages",
  "journal": "J. Math. Phys. 46, 032305 (2005)",
  "doi": "10.1063/1.1850997",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "In the context of relativistic quantum mechanics, where the Schr\\\"odinger equation is replaced by the spinless Salpeter equation, we show how to construct a large class of upper limits on the critical value, $g_{\\rm{c}}^{(\\ell)}$, of the coupling constant, $g$, of the central potential, $V(r)=-g v(r)$. This critical value is the value of $g$ for which a first $\\ell$-wave bound state appears.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-12-14T12:33:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "relativistic quantum mechanics",
      "central potential",
      "upper limit",
      "critical strength",
      "wave bound state appears"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "J. Math. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}