{
  "annotation_id": "83cf0e2d-2c86-42ae-bd2c-7f05f2d0601a",
  "date_created": "2026-03-02T18:02:17.048000Z",
  "date_modified": "2026-03-02T18:02:17.048000Z",
  "file_hash": "c58a5dfc66792a6cfe918b1510319bd7d3099a19342e50c612b393b9ba449490",
  "private": false,
  "record": {
    "abstract": "Simple examples of non-Hermitian Hamiltonians with purely real spectra\ndefined in $L^2(R^+)$ having spectral singularities inside the continuous\nspectrum are given. It is shown that such Hamiltonians may appear by shifting\nthe ndependent variable of a real potential into the complex plane. Also they\nmay be created as SUSY partners of Hermitian Hamiltonians. In the latter case\nspectral singularities of a non-Hermitian Hamiltonian are ordinary points of\nthe continuous spectrum for its Hermitian SUSY partner. Conditions for\ntransformation functions are formulated when a complex potential with complex\neigenenergies and spectral singularities has a SUSY partner with a real\nspectrum without spectral singularities. Finally we shortly discuss why\nHamiltonians with spectral singularities are `bad\u0027.",
    "arxiv_id": "quant-ph/0507085",
    "authors": [
      "Boris F Samsonov"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/38/34/L02",
    "journal_ref": "J. Phys. A: Math. Gen. 38 (2005) L571-L579",
    "title": "Spectral singularities of non-Hermitian Hamiltonians and SUSY   transformations",
    "url": "https://arxiv.org/abs/quant-ph/0507085"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "acfae6f9-4c92-47bc-a04d-a5d0dfa2e4a6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}