{
  "id": "1007.4326",
  "version": "v1",
  "published": "2010-07-25T15:30:06.000Z",
  "updated": "2010-07-25T15:30:06.000Z",
  "title": "Exact spectrum for quantum oscillator in spaces of constant curvature from WKB-quantization",
  "authors": [
    "E. M. Ovsiyuk",
    "V. M. Red'kov"
  ],
  "comment": "12 pages, Contrivution to BGL-7: International Conference on Non-Euclidean Geometry and its applications. 5 -- 9 July 2010, Kluj-Napoca, ROMANIA",
  "journal": "Doklady Natsionalnoi Akademii Nauk Belarusi. 2010. 54, no 6. 38-45",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "Quantum-mechanical WKB-method is elaborated for the known quantum oscillator problem in curved 3-spaces models Euclid, Riemann, and Lobachevsky E_{3}, H_{3}, S_{3} in the framework of the complex variable function theory. Generalized generally covariant Schr\\\"{o}dinger equation is considered. In all three space models, exact energy levels are found with the help of constructing special formal WKB-sieries.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-07-25T15:30:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "G.1"
    ],
    "keywords": [
      "constant curvature",
      "exact spectrum",
      "wkb-quantization",
      "constructing special formal wkb-sieries",
      "exact energy levels"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 863206,
      "adsabs": "2010arXiv1007.4326O"
    }
  }
}