{
  "annotation_id": "da07e0fa-e55f-4b10-b90e-7e5c23de2c90",
  "date_created": "2026-03-02T18:01:42.535000Z",
  "date_modified": "2026-03-02T18:01:42.535000Z",
  "file_hash": "256b74d9b04e143bc65e3d355e2c3059588117caf8a4717bdb160d3c0fcf8a12",
  "private": false,
  "record": {
    "abstract": "Complex potential transformations which add imaginary parts to chosen energy\nlevels are given and qualitatively explained. Unexpected shape similarity of\npotential perturbations for real and imaginary E-shifts of bound states are\nexhibited. The imaginary E-shifts in the continuous spectrum lead to a\nsurprising quasi-periodic field raking up initial propagating waves into\nlocalized states. Complex periodic potentials without lacunas (!) are\nconstructed. The fission of quasi-bound states when neighbour complex\neigenvalues approach one another is demonstrated. E-shift algorithms represent\nwide classes of exactly solvable quantum models for non-self-adjoint operators.",
    "arxiv_id": "quant-ph/0011119",
    "authors": [
      "V. M. Chabanov",
      "B. N. Zakhariev"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "On the Qualitative Theory of Non-Gamov Decay States",
    "url": "https://arxiv.org/abs/quant-ph/0011119"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a9719d46-fbde-4271-8ed6-db3844f760d4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}