{
  "annotation_id": "3de4a771-7d20-4f29-8081-2de984c43b2d",
  "date_created": "2026-03-02T18:02:16.224000Z",
  "date_modified": "2026-03-02T18:02:16.224000Z",
  "file_hash": "a2317ed313e30800104329217b34bdbb8773d85ff73b16e65d76a0ec58c835cb",
  "private": false,
  "record": {
    "abstract": "A non-Hermitean operator does not necessarily have a complete set of\neigenstates, contrary to a Hermitean one. An algorithm is presented which\nallows one to decide whether the eigenstates of a given PT-invariant operator\non a finite-dimensional space are complete or not. In other words, the\nalgorithm checks whether a given PT-symmetric matrix is diagonalizable. The\nprocedure neither requires to calculate any single eigenvalue nor any numerical\napproximation.",
    "arxiv_id": "quant-ph/0506042",
    "authors": [
      "Stefan Weigert"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/39/1/017",
    "journal_ref": "J. Phys. A 39 (2006) 235",
    "title": "An Algorithmic Test for Diagonalizability of Finite-Dimensional   PT-Invariant Systems",
    "url": "https://arxiv.org/abs/quant-ph/0506042"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fb96397d-dbd1-4511-9372-62fc259833bb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}