{
  "id": "1004.3122",
  "version": "v1",
  "published": "2010-04-19T08:32:06.000Z",
  "updated": "2010-04-19T08:32:06.000Z",
  "title": "Quantum counterparts of VII$_{a}$, III$_{a=1}$, VI$_{a\\neq1}$ over harmonic oscillator",
  "authors": [
    "E. Paal",
    "J. Virkepu"
  ],
  "comment": "9 pages, LaTeX2e. arXiv admin note: text overlap with arXiv:0901.4264",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "Operadic Lax representations for the harmonic oscillator are used to construct the quantum counterparts of some real three dimensional Lie algebras. The Jacobi operators of these quantum algebras are studied in semiclassical approximation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-04-19T08:32:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18D50",
      "17D99",
      "81R12"
    ],
    "keywords": [
      "harmonic oscillator",
      "quantum counterparts",
      "operadic lax representations",
      "dimensional lie algebras",
      "jacobi operators"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 852422,
      "adsabs": "2010arXiv1004.3122P"
    }
  }
}