{
  "annotation_id": "503df7a8-47f5-4381-a25d-c795b7a40361",
  "date_created": "2026-03-02T18:02:07.040000Z",
  "date_modified": "2026-03-02T18:02:07.040000Z",
  "file_hash": "b7425b60164185a825232f1aa8ab31156d9a9b63290f3b0fafce2fe37154604c",
  "private": false,
  "record": {
    "abstract": "Effective (i.e., subspace-constrained) Hamiltonians become, by construction,\nenergy-dependent while all the energy-dependent forces prove non-linear because\nthe energy itself is merely an eigenvalue of the Hamiltonian H. One of the most\nnatural resolutions of such a puzzle is proposed via an introduction of teh two\nseparate linear representatives of the respective right and left action of\nH=H(E). Both the new energy-independent operators are non-Hermitian so that the\nformalism admits a natural extension to non-Hermitian initial H(E)s.",
    "arxiv_id": "quant-ph/0403223",
    "authors": [
      "Miloslav Znojil"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physleta.2004.04.036",
    "journal_ref": "Phys. Lett. A 326 (2004) 70 - 76",
    "title": "Linear representation of energy-dependent Hamiltonians",
    "url": "https://arxiv.org/abs/quant-ph/0403223"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e816c85a-fac3-455a-9fd3-ef60c2154e07",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}