{
  "annotation_id": "c9cff852-7977-4a29-99bd-3b23ce23f04e",
  "date_created": "2026-03-02T18:02:23.739000Z",
  "date_modified": "2026-03-02T18:02:23.739000Z",
  "file_hash": "62302dd0aaa75e89a4e96caa3be1b21fec71a61550f1b3cd90f858ad1d3c2a86",
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  "record": {
    "abstract": "The Moyal product is used to cast the equation for the metric of a\nnon-hermitian Hamiltonian in the form of a differential equation. For\nHamiltonians of the form $p^2+V(ix)$ with $V$ polynomial this is an exact\nequation. Solving this equation in perturbation theory recovers known results.\nExplicit criteria for the hermiticity and positive definiteness of the metric\nare formulated on the functional level.",
    "arxiv_id": "quant-ph/0512055",
    "authors": [
      "F G Scholtz",
      "H B Geyer"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physletb.2006.01.022",
    "journal_ref": "Phys. Lett B 634 (2006) 84",
    "title": "Operator equations and Moyal products -- metrics in quasi-hermitian   quantum mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0512055"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f8835202-da41-4be2-a793-90cef9c785e4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}