{
  "id": "1110.6678",
  "version": "v1",
  "published": "2011-10-31T02:11:11.000Z",
  "updated": "2011-10-31T02:11:11.000Z",
  "title": "Quantization with Action-Angle Coherent States",
  "authors": [
    "J. -P. Gazeau",
    "R. Kanamoto"
  ],
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "For a single degree of freedom confined mechanical system with given energy, we know that the motion is always periodic and action-angle variables are convenient choice as conjugate phase-space variables. We construct action-angle coherent states in view to provide a quantization scheme that yields precisely a given observed energy spectrum ${E_n}$ for such a system. This construction is based on a Bayesian approach: each family corresponds to a choice of probability distributions such that the classical energy averaged with respect to this probability distribution is precisely $E_n$ up to a constant shift. The formalism is viewed as a natural extension of the Bohr-Sommerfeld rule and an alternative to the canonical quantization. In particular, it also yields a satisfactory angle operator as a bounded self-adjoint operator.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-31T02:11:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantization",
      "probability distribution",
      "construct action-angle coherent states",
      "conjugate phase-space variables",
      "satisfactory angle operator"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1742-6596/343/1/012038",
      "journal": "Journal of Physics Conference Series",
      "year": 2012,
      "month": "Feb",
      "volume": 343,
      "number": 1,
      "pages": "012038"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012JPhCS.343a2038G"
    }
  }
}