{
  "annotation_id": "e327438b-843d-492f-81c9-ff15d0d08a67",
  "date_created": "2026-03-02T18:02:30.972000Z",
  "date_modified": "2026-03-02T18:02:30.972000Z",
  "file_hash": "6e6f2162c67b2ad242c85ee8923757cbd3aa089e02c54e8e8949d4bcf02ac4f3",
  "private": false,
  "record": {
    "abstract": "We provide a reviewlike introduction into the quantum mechanical formalism\nrelated to non-Hermitian Hamiltonian systems with real eigenvalues. Starting\nwith the time-independent framework we explain how to determine an appropriate\ndomain of a non-Hermitian Hamiltonian and pay particular attention to the role\nplayed by PT-symmetry and pseudo-Hermiticity. We discuss the time-evolution of\nsuch systems having in particular the question in mind of how to couple\nconsistently an electric field to pseudo-Hermitian Hamiltonians. We illustrate\nthe general formalism with three explicit examples: i) the generalized Swanson\nHamiltonians, which constitute non-Hermitian extensions of anharmonic\noscillators, ii) the spiked harmonic oscillator, which exhibits explicit\nsupersymmetry and iii) the -x^4-potential, which serves as a toy model for the\nquantum field theoretical phi^4-theory.",
    "arxiv_id": "quant-ph/0609096",
    "authors": [
      "Carla Figueira de Morisson Faria",
      "Andreas Fring"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1134/S1054660X07040196",
    "journal_ref": "Laser Physics 17 (2007) 424-437",
    "title": "Non-Hermitian Hamiltonians with real eigenvalues coupled to electric   fields: from the time-independent to the time dependent quantum mechanical   formulation",
    "url": "https://arxiv.org/abs/quant-ph/0609096"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "44b2cbc4-5d74-45e3-86d0-700eca96c62e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}