{
  "id": "math-ph/0310030",
  "version": "v1",
  "published": "2003-10-16T17:55:10.000Z",
  "updated": "2003-10-16T17:55:10.000Z",
  "title": "Solution of the Dirac equation with position-dependent mass in the Coulomb field",
  "authors": [
    "A. D. Alhaidari"
  ],
  "comment": "6 pages",
  "journal": "Phys. Lett. A 322, 72 (2004)",
  "doi": "10.1016/j.physleta.2004.01.006",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We obtain exact solution of the Dirac equation for a charged particle with position-dependent mass in the Coulomb field. The effective mass of the spinor has a relativistic component which is proportional to the square of the Compton wavelength and varies as 1/r. It is suggested that this model could be used as a tool in the renormalization of ultraviolet divergences in field theory. The discrete energy spectrum and spinor wave-function are obtained explicitly.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-10-16T17:55:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "position-dependent mass",
      "coulomb field",
      "dirac equation",
      "discrete energy spectrum",
      "relativistic component"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}