{
  "id": "math-ph/0505069",
  "version": "v1",
  "published": "2005-05-26T16:22:13.000Z",
  "updated": "2005-05-26T16:22:13.000Z",
  "title": "Iterative solutions to the Dirac equation",
  "authors": [
    "Hakan Ciftci",
    "Richard L. Hall",
    "Nasser Saad"
  ],
  "comment": "18 pages",
  "journal": "Phys. Rev. A 72, 022101 (2005)",
  "doi": "10.1103/PhysRevA.72.022101",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider a single particle which is bound by a central potential and obeys the Dirac equation in d dimensions. We first apply the asymptotic iteration method to recover the known exact solutions for the pure Coulomb case. For a screened-Coulomb potential and for a Coulomb plus linear potential with linear scalar confinement, the method is used to obtain accurate approximate solutions for both eigenvalues and wave functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-05-26T16:22:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dirac equation",
      "iterative solutions",
      "coulomb plus linear potential",
      "linear scalar confinement",
      "asymptotic iteration method"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. A"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}