{
  "id": "1203.6241",
  "version": "v5",
  "published": "2012-03-28T12:08:04.000Z",
  "updated": "2012-12-18T09:49:18.000Z",
  "title": "Pseudo-Hermitian Quantum Mechanics with Unbounded Metric Operators",
  "authors": [
    "Ali Mostafazadeh"
  ],
  "comment": "8 pages, accepted for publication in Phil. Trans. R. Soc. A",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We extend the formulation of pseudo-Hermitian quantum mechanics to eta-pseudo-Hermitian Hamiltonian operators H with an unbounded metric operator eta. In particular, we give the details of the construction of the physical Hilbert space, observables, and equivalent Hermitian Hamiltonian for the case that H has a real and discrete spectrum and its eigenvectors belong to the domain of eta and consequently its positive square root.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2012-12-18T09:49:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "pseudo-hermitian quantum mechanics",
      "unbounded metric operator eta",
      "eta-pseudo-hermitian hamiltonian operators",
      "equivalent hermitian hamiltonian",
      "physical hilbert space"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1098/rsta.2012.0050",
      "journal": "Philosophical Transactions of the Royal Society of London Series A",
      "year": 2013,
      "month": "Mar",
      "volume": 371,
      "number": 1989,
      "pages": 20120050
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013RSPTA.37120050M"
    }
  }
}