{
  "annotation_id": "b42279d6-8a30-43f5-99c7-72c6c9dcca06",
  "date_created": "2026-03-02T18:01:42.125000Z",
  "date_modified": "2026-03-02T18:01:42.125000Z",
  "file_hash": "f6c263ac3dc1ad52ac19582bea234985b628375cd21ef25d57b7722bb368a038",
  "private": false,
  "record": {
    "abstract": "The Feshbach-type reduction of the Hilbert space to the physically most\nrelevant \"model\" subspace is suggested as a means of a formal unification of\nthe standard quantum mechanics with its recently proposed PT symmetric\nmodification. The resulting \"effective\" Hamiltonians H(eff) are always\nHermitian, and the two alternative forms of their energy-dependence are\ninterpreted as a certain dynamical nonlinearity, responsible for the repulsion\nand/or attraction of the levels in the Hermitian and/or PT symmetric cases,\nrespectively. The spontaneous PT symmetry breaking is then reflected by the\nloss of the Hermiticity of H(eff) while the pseudo-unitary evolution law\npersists in the unreduced Hilbert space.",
    "arxiv_id": "quant-ph/0103054",
    "authors": [
      "Miloslav Znojil"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.2991/jnmp.2002.9.s2.11",
    "journal_ref": "J. Nonlin. Math. Phys. 9, Suppl. 2 (2002), 122 - 133",
    "title": "Should PT symmetric quantum mechanics be interpreted as nonlinear?",
    "url": "https://arxiv.org/abs/quant-ph/0103054"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "55045922-957a-4b0c-bc70-9962e99d574e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}