{
  "id": "math-ph/0007019",
  "version": "v1",
  "published": "2000-07-14T05:00:54.000Z",
  "updated": "2000-07-14T05:00:54.000Z",
  "title": "Energy levels of neutral atoms via a new perturbation method",
  "authors": [
    "Omar Mustafa",
    "Maen Odeh"
  ],
  "comment": "Latex file, 19 pages, to appear in the Czech. J. Phys",
  "journal": "Czech. J. Phys. 51, 199 - 210 ( 2001 )",
  "doi": "10.1023/A:1002880930770",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The energy levels of neutral atoms supported by Yukawa potential, $V(r)=-Z exp(-\\alpha r)/r$, are studied, using both dimensional and dimensionless quantities, via a new analytical methodical proposal (devised to solve for nonexactly solvable Schrodinger equation). Using dimensionless quantities, by scaling the radial Hamiltonian through $y=Zr$ and $\\alpha^{'}=\\alpha/Z$, we report that the scaled screening parameter $\\alpha^{'}$ is restricted to have values ranging from zero to less than 0.4. On the other hand, working with the scaled Hamiltonian enhances the accuracy and extremely speeds up the convergence of the energy eigenvalues. The energy levels of several new eligible scaled screening parameter $\\alpha^{'}$ values are also reported.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-07-14T05:00:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "energy levels",
      "neutral atoms",
      "perturbation method",
      "scaled screening parameter",
      "dimensionless quantities"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}