{
  "id": "1109.3302",
  "version": "v1",
  "published": "2011-09-15T09:47:30.000Z",
  "updated": "2011-09-15T09:47:30.000Z",
  "title": "Wave functions of a particle with polarizability in the Coulomb potential",
  "authors": [
    "V. Kisel",
    "G. Krylov",
    "E. Ovsiyuk",
    "M. Amirfachrian",
    "V. Red'kov"
  ],
  "comment": "13 pages, 10 figures, Report to 18 Conference NPCS-2011, May 17-20, 2011, Minsk, Belarus",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "Quantum mechanical scalar particle with polarizability is considered in the presence of the Coulomb field. Separation of variables is performed with the use of Wigner $D$-functions, the radial system of 15 equations is reduced to a single second order differential equation, which among the Coulomb term includes an additional interaction term of the form \\sigma \\alpha^{2} / M^{2}r^{4}. Various physical regimes exist that is demonstrated by examining the behavior of the curves of generalized squared radial momentum P^{2}(r). Eigenstates of the equations can be constructed in terms of double confluent Heun functions. Numerical analysis proves the existence of the bound states in the system; the lowest energy level and corresponding solution are calculated based on generalization of Ritz variational procedure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-09-15T09:47:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "G.1"
    ],
    "keywords": [
      "wave functions",
      "coulomb potential",
      "single second order differential equation",
      "polarizability",
      "quantum mechanical scalar particle"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.3302K"
    }
  }
}