{
  "annotation_id": "012224cc-459e-4903-8363-025c9e5241b7",
  "date_created": "2026-03-02T18:02:47.707000Z",
  "date_modified": "2026-03-02T18:02:47.707000Z",
  "file_hash": "60b76143ed42a6e831557f63ec741f5cb8982d4222bf9d7cfa3f02dad8fbe225",
  "private": false,
  "record": {
    "abstract": "Starting with a time-independent Hamiltonian $h$ and an appropriately chosen\nsolution of the von Neumann equation $i\\dot\\rho(t)=[ h,\\rho(t)]$ we construct\nits binary-Darboux partner $h_1(t)$ and an exact scattering solution of\n$i\\dot\\rho_1(t)=[h_1(t),\\rho_1(t)]$ where $h_1(t)$ is time-dependent and not\nisospectral to $h$. The method is analogous to supersymmetric quantum mechanics\nbut is based on a different version of a Darboux transformation. We illustrate\nthe technique by the example where $h$ corresponds to a 1-D harmonic\noscillator. The resulting $h_1(t)$ represents a scattering of a soliton-like\npulse on a three-level system.",
    "arxiv_id": "quant-ph/9907059",
    "authors": [
      "Marek Czachor",
      "Heinz-Dietrich Doebner",
      "Monika Syty",
      "Krzysztof Wasylka"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevE.61.3325",
    "journal_ref": "Phys.Rev.E61:3325-3329,2000",
    "title": "Von Neumann equations with time-dependent Hamiltonians and   supersymmetric quantum mechanics",
    "url": "https://arxiv.org/abs/quant-ph/9907059"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f324e2c6-8232-47a0-8459-e43c30d2f0db",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}