{
  "id": "2001.10598",
  "version": "v1",
  "published": "2020-01-28T21:41:49.000Z",
  "updated": "2020-01-28T21:41:49.000Z",
  "title": "On radial Schroedinger operators with a Coulomb potential: General boundary conditions",
  "authors": [
    "J. Derezinski",
    "J. Faupin",
    "Q. N. Nguyen",
    "S. Richard"
  ],
  "comment": "51 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "This paper presents the spectral analysis of 1-dimensional Schroedinger operator on the half-line whose potential is a linear combination of the Coulomb term 1/r and the centrifugal term 1/r^2. The coupling constants are allowed to be complex, and all possible boundary conditions at 0 are considered. The resulting closed operators are organized in three holomorphic families. These operators are closely related to the Whittaker equation. Solutions of this equation are thoroughly studied in a large appendix to this paper. Various special cases of this equation are analyzed, namely the degenerate, the Laguerre and the doubly degenerate cases. A new solution to the Whittaker equation in the doubly degenerate case is also introduced.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-28T21:41:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "radial schroedinger operators",
      "general boundary conditions",
      "coulomb potential",
      "doubly degenerate case",
      "whittaker equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 51,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}