{
  "id": "quant-ph/0507085",
  "version": "v1",
  "published": "2005-07-08T14:12:50.000Z",
  "updated": "2005-07-08T14:12:50.000Z",
  "title": "Spectral singularities of non-Hermitian Hamiltonians and SUSY transformations",
  "authors": [
    "Boris F Samsonov"
  ],
  "journal": "J. Phys. A: Math. Gen. 38 (2005) L571-L579",
  "doi": "10.1088/0305-4470/38/34/L02",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Simple examples of non-Hermitian Hamiltonians with purely real spectra defined in $L^2(R^+)$ having spectral singularities inside the continuous spectrum are given. It is shown that such Hamiltonians may appear by shifting the ndependent variable of a real potential into the complex plane. Also they may be created as SUSY partners of Hermitian Hamiltonians. In the latter case spectral singularities of a non-Hermitian Hamiltonian are ordinary points of the continuous spectrum for its Hermitian SUSY partner. Conditions for transformation functions are formulated when a complex potential with complex eigenenergies and spectral singularities has a SUSY partner with a real spectrum without spectral singularities. Finally we shortly discuss why Hamiltonians with spectral singularities are `bad'.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-07-08T14:12:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-hermitian hamiltonian",
      "susy transformations",
      "real spectrum",
      "hermitian susy partner",
      "continuous spectrum"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2005,
      "month": "Aug",
      "volume": 38,
      "number": 34
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005JPhA...38L.571S"
    }
  }
}