{
  "id": "1007.4349",
  "version": "v1",
  "published": "2010-07-25T20:19:42.000Z",
  "updated": "2010-07-25T20:19:42.000Z",
  "title": "Examples of Pseudo-bosons in quantum mechanics",
  "authors": [
    "Fabio Bagarello"
  ],
  "comment": "in press in Phys. Lett. A",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We discuss two physical examples of the so-called {\\em pseudo-bosons}, recently introduced in connection with pseudo-hermitian quantum mechanics. In particular, we show that the so-called {\\em extended harmonic oscillator} and the {\\em Swanson model} satisfy all the assumptions of the pseudo-bosonic framework introduced by the author. We also prove that the biorthogonal bases they produce are not Riesz bases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-07-25T20:19:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "pseudo-bosons",
      "pseudo-hermitian quantum mechanics",
      "biorthogonal bases",
      "pseudo-bosonic framework",
      "riesz bases"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.physleta.2010.07.044",
      "journal": "Physics Letters A",
      "year": 2010,
      "month": "Aug",
      "volume": 374,
      "number": 37,
      "pages": 3823
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhLA..374.3823B"
    }
  }
}