{
  "annotation_id": "e1dc738e-6426-4189-96c2-6c4283783e30",
  "date_created": "2026-03-02T18:02:47.930000Z",
  "date_modified": "2026-03-02T18:02:47.930000Z",
  "file_hash": "cca368a35ac833c87a2c7d557b88b8db26f02cdb789a708d2e2aea7005c75168",
  "private": false,
  "record": {
    "abstract": "Proposals for nonlinear extenstions of quantum mechanics are discussed. Two\ndifferent concepts of \"mixed state\" for any nonlinear version of quantum theory\nare introduced: (i) \u003egenuine mixture\u003c corresponds to operational \"mixing\" of\ndifferent ensembles, and (ii) a mixture described by single density matrix\nwithout having a canonical operational possibility to pick out its specific\nconvex decomposition is called here an \u003eelementary mixture\u003c. Time evolution of\na class of nonlinear extensions of quantum mechanics is introduced. Evolution\nof an elementary mixture cannot be generally given by evolutions of components\nof its arbitrary convex decompositions. The theory is formulated in a\n\"geometric form\": It can be considered as a version of Hamiltonian mechanics on\ninfinite dimensional space of density matrices. A quantum interpretation of the\ntheory is sketched.",
    "arxiv_id": "quant-ph/9910011",
    "authors": [
      "Pavel Bona"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Proceedings of the International Symposium: Trends in Quantum\n  Mechanics, Goslar 1998. Eds: H.-D.Doebner, S.T.Ali, M.Keyl and R.F.Werner;\n  World Scientific, Singapore-New Jersey-London-Hong Kong, 2000",
    "title": "Geometric Formulation of Nonlinear Quantum Mechanics for Density   Matrices",
    "url": "https://arxiv.org/abs/quant-ph/9910011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b1b4b4c5-c34e-4743-871e-476985728bb5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}