{
  "annotation_id": "77757c9b-2c4d-4d98-b17e-87ec06153727",
  "date_created": "2026-03-02T18:01:42.542000Z",
  "date_modified": "2026-03-02T18:01:42.542000Z",
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  "record": {
    "abstract": "Space of states of PT symmetrical quantum mechanics is examined. Requirement\nthat eigenstates with different eigenvalues must be orthogonal leads to the\nconclusion that eigenfunctions belong to the space with an indefinite metric.\nThe self consistent expressions for the probability amplitude and average value\nof operator are suggested. Further specification of space of state vectors\nyield the superselection rule, redefining notion of the superposition\nprinciple. The expression for the probability current density, satisfying\nequation of continuity and vanishing for the bound state, is proposed.",
    "arxiv_id": "quant-ph/0104077",
    "authors": [
      "G. S. Japaridze"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1088/0305-4470/35/7/315",
    "journal_ref": "J.Phys.A35:1709-1718,2002",
    "title": "Space of State Vectors in PT Symmetrical Quantum Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0104077"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "de84a189-d4e6-439e-8b3a-81e3536ad8b4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}