{
  "id": "quant-ph/0108016",
  "version": "v2",
  "published": "2001-08-03T11:21:49.000Z",
  "updated": "2001-08-10T09:22:20.000Z",
  "title": "Pseudo-Hermiticity of Hamiltonians under imaginary shift of the co-ordinate : real spectrum of complex potentials",
  "authors": [
    "Zafar Ahmed"
  ],
  "comment": "7 pages, no figure, eq.5 is changed, eqs.6a-e added, submitted to Phys. Lett. A",
  "doi": "10.1016/S0375-9601(01)00622-3",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We propose that the real spectrum and the orthogonality of the states for several known complex potentials of both types, PT-symmetric and non-PT-symmetric can be understood in terms of currently proposed $\\eta$-pseudo-Hermiticity (Mostafazadeh, quant-ph/0107001) of a Hamiltonian, provided the Hermitian linear automorphism, $\\eta$, is introduced as $e^{-\\theta p}$ which affects an imaginary shift of the co-ordinate : $e^{-\\theta p} x e^{\\theta p} = x+i\\theta$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-08-10T09:22:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "real spectrum",
      "imaginary shift",
      "complex potentials",
      "pseudo-hermiticity",
      "co-ordinate"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}