{
  "annotation_id": "07397044-0df4-4c37-9ecd-8b34df87d8d1",
  "date_created": "2026-03-02T18:01:46.209000Z",
  "date_modified": "2026-03-02T18:01:46.209000Z",
  "file_hash": "c8aea0b7d67e0ee00361ee98a6fe7575a3893e3add45011ba4522f9579eed4a6",
  "private": false,
  "record": {
    "abstract": "We propose that the real spectrum and the orthogonality of the states for\nseveral known complex potentials of both types, PT-symmetric and\nnon-PT-symmetric can be understood in terms of currently proposed\n$\\eta$-pseudo-Hermiticity (Mostafazadeh, quant-ph/0107001) of a Hamiltonian,\nprovided the Hermitian linear automorphism, $\\eta$, is introduced as\n$e^{-\\theta p}$ which affects an imaginary shift of the co-ordinate :\n$e^{-\\theta p} x e^{\\theta p} = x+i\\theta$.",
    "arxiv_id": "quant-ph/0108016",
    "authors": [
      "Zafar Ahmed"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(01)00622-3",
    "title": "Pseudo-Hermiticity of Hamiltonians under imaginary shift of the   co-ordinate : real spectrum of complex potentials",
    "url": "https://arxiv.org/abs/quant-ph/0108016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ca61524c-f987-44ad-adfd-eae50aa74853",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}