{
  "id": "0809.4528",
  "version": "v4",
  "published": "2008-09-26T07:12:20.000Z",
  "updated": "2009-12-22T16:59:17.000Z",
  "title": "Connection between Coulomb and harmonic oscillator potentials in relativistic quantum mechanics",
  "authors": [
    "Bo Fu",
    "Fu-Lin Zhang",
    "Jing-Ling Chen"
  ],
  "comment": "8 pages",
  "categories": [
    "quant-ph"
  ],
  "abstract": "The Levi-Civita transformation is applied in the two-dimensional (2D) Dirac and Klein-Gordon (KG) equations with equal external scalar and vector potentials. The Coulomb and harmonic oscillator problems are connected via the Levi-Civita transformation. These connections lead to an approach to solve the Coulomb problems using the results of the harmonic oscillator potential in the above-mentioned relativistic systems.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2009-12-22T16:59:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "harmonic oscillator potential",
      "relativistic quantum mechanics",
      "connection",
      "levi-civita transformation",
      "harmonic oscillator problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.4528F"
    }
  }
}