{
  "id": "2411.10824",
  "version": "v1",
  "published": "2024-11-16T15:29:59.000Z",
  "updated": "2024-11-16T15:29:59.000Z",
  "title": "On the degeneracy of the energy levels of Schroedinger and Klein-Gordon equations on Riemannian coverings",
  "authors": [
    "Claudia Maria Chanu",
    "Giovanni Rastelli"
  ],
  "comment": "9 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study the degeneracy of the energy levels of the Schroedinger equation with Kepler-Coulomb potential and of the Klein-Gordon equation on Riemannian coverings of the Euclidean space and of the Schwarzschild space-time respectively. Degeneracy of energy levels is a consequence of the superintegrability of the system. We see how the degree of degeneracy changes depending on the covering parameter k, the parameter that in space-times can be related with a cosmic string, and show examples of lower degeneracy in correspondence of non integer values of k.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-16T15:29:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "energy levels",
      "riemannian coverings",
      "klein-gordon equation",
      "non integer values",
      "kepler-coulomb potential"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}