{
  "id": "1609.07579",
  "version": "v1",
  "published": "2016-09-24T07:23:13.000Z",
  "updated": "2016-09-24T07:23:13.000Z",
  "title": "Intertwining operators for non self-adjoint Hamiltonians and bicoherent states",
  "authors": [
    "Fabio Bagarello"
  ],
  "comment": "In press in Journal of Mathematical Physics",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "This paper is devoted to the construction of what we will call {\\em exactly solvable models}, i.e. of quantum mechanical systems described by an Hamiltonian $H$ whose eigenvalues and eigenvectors can be explicitly constructed out of some {\\em minimal ingredients}. In particular, motivated by PT-quantum mechanics, we will not insist on any self-adjointness feature of the Hamiltonians considered in our construction. We also introduce the so-called bicoherent states, we analyze some of their properties and we show how they can be used for quantizing a system. Some examples, both in finite and in infinite-dimensional Hilbert spaces, are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-24T07:23:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non self-adjoint hamiltonians",
      "bicoherent states",
      "intertwining operators",
      "infinite-dimensional hilbert spaces",
      "construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}