{
  "annotation_id": "024444bb-5f53-4a9b-b220-3a54052dd5d5",
  "date_created": "2026-03-02T18:02:47.323000Z",
  "date_modified": "2026-03-02T18:02:47.323000Z",
  "file_hash": "3e757cf944c36feb136af2694e5d81b2e1ea605678626ebd422470f19911c5dc",
  "private": false,
  "record": {
    "abstract": "We review some recent developments in the theory of nonlinear von Neumann\nequations. We distinguish between the von Neumann equation (which can be\nnonlinear) and the Liouville equation (which should be linear). Explicit\nexamples illustrate the technique of binary Darboux integration of nonlinear\ndensity matrix equations and special attention is payed to the problem of how\nto find physically nontrivial `self-scattering\u0027 solutions.",
    "arxiv_id": "quant-ph/9904110",
    "authors": [
      "Marek Czachor",
      "Maciej Kuna",
      "Sergiej B. Leble",
      "Jan Naudts"
    ],
    "categories": [
      "quant-ph",
      "nlin.SI",
      "solv-int"
    ],
    "title": "Nonlinear von Neumann-type equations",
    "url": "https://arxiv.org/abs/quant-ph/9904110"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0b56c221-34a5-4964-b194-bff6136c10c5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}