{
  "id": "quant-ph/0108042",
  "version": "v4",
  "published": "2001-08-09T06:20:00.000Z",
  "updated": "2001-11-18T08:18:11.000Z",
  "title": "Coherent states for the hydrogen atom: discrete and continuous spectra",
  "authors": [
    "Simeon Pol'shin"
  ],
  "comment": "15 pages, LATEX, minor sign corrections, to appear in J.Phys.A",
  "journal": "J.Phys.A 34 (2001) 11083",
  "doi": "10.1088/0305-4470/34/49/323",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We construct the systems of generalised coherent states for the discrete and continuous spectra of the hydrogen atom. These systems are expressed in elementary functions and are invariant under the $SO(3, 2)$ (discrete spectrum) and $SO(4, 1)$ (continuous spectrum) subgroups of the dynamical symmetry group $SO(4, 2)$ of the hydrogen atom. Both systems of coherent states are particular cases of the kernel of integral operator which interwines irreducible representations of the $SO(4, 2)$ group.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2001-11-18T08:18:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hydrogen atom",
      "continuous spectrum",
      "generalised coherent states",
      "interwines irreducible representations",
      "elementary functions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}