{
  "id": "2001.00117",
  "version": "v1",
  "published": "2020-01-01T00:29:27.000Z",
  "updated": "2020-01-01T00:29:27.000Z",
  "title": "Non-relativistic expansion of Dirac equation with spherical scalar and vector potentials by reconstituted Foldy-Wouthuysen transformation",
  "authors": [
    "Yixin Guo",
    "Haozhao Liang"
  ],
  "comment": "12 pages, 9 figures",
  "categories": [
    "nucl-th",
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "Inspired by the reconstituted similarity renormalization group method, the reconstituted Foldy-Wouthuysen (FW) transformation is proposed. Applied to the Dirac equation in the covariant density functional theory, the reconstituted FW transformation shows a fast convergence of the spectrum of the single-particle energy. The single-particle densities and the single-particle scalar densities obtained by this new method are also investigated. In particular, the relativistic corrections to the densities from the picture-change error between the Schr\\\"odinger and Dirac pictures are discussed in detail. Taking these relativistic corrections into account, both the single-particle densities and the single-particle scalar densities are almost identical to their exact values.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-01T00:29:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "reconstituted foldy-wouthuysen transformation",
      "dirac equation",
      "similarity renormalization group method",
      "non-relativistic expansion",
      "vector potentials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}