{
  "id": "1001.0777",
  "version": "v3",
  "published": "2010-01-05T21:47:30.000Z",
  "updated": "2010-05-13T12:32:03.000Z",
  "title": "Analytic functions of the annihilation operator",
  "authors": [
    "Aleksandar Petrovic"
  ],
  "comment": "4 pages",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "A method for construction of analytic function f of the annihilation operator is given for the first time. f(z) is analytic on some compact domain that does not separate the complex plane. A new form of the identity is given, which is well suited for domain of function. Using Runge's polynomial approximation theorem, such a function f of the annihilation operator is defined on the whole domain. The constructed operators are given in terms of dyads formed of Fock states.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-05-13T12:32:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "annihilation operator",
      "analytic function",
      "runges polynomial approximation theorem",
      "compact domain",
      "fock states"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.0777P"
    }
  }
}