{
  "id": "0806.2764",
  "version": "v1",
  "published": "2008-06-17T11:57:28.000Z",
  "updated": "2008-06-17T11:57:28.000Z",
  "title": "Self-adjoint extensions of Coulomb systems in 1,2 and 3 dimensions",
  "authors": [
    "Cesar R. de Oliveira",
    "Alessandra A. Verri"
  ],
  "comment": "23 pages; Annals of Physics (NY)",
  "doi": "10.1016/j.aop.2008.06.001",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study the nonrelativistic quantum Coulomb hamiltonian (i.e., inverse of distance potential) in $R^n$, n = 1, 2, 3. We characterize their self-adjoint extensions and, in the unidimensional case, present a discussion of controversies in the literature, particularly the question of the permeability of the origin. Potentials given by fundamental solutions of Laplace equation are also briefly considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-06-17T11:57:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "self-adjoint extensions",
      "coulomb systems",
      "dimensions",
      "nonrelativistic quantum coulomb hamiltonian",
      "laplace equation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Annals of Physics",
      "year": 2009,
      "month": "Feb",
      "volume": 324,
      "number": 2,
      "pages": 251
    },
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009AnPhy.324..251D"
    }
  }
}