{
  "annotation_id": "10acf1ef-fb41-4154-96f7-5abdbf36e866",
  "date_created": "2026-03-02T18:02:02.726000Z",
  "date_modified": "2026-03-02T18:02:02.726000Z",
  "file_hash": "8aef71a4cc3f172a7e843794af03171075c744d080bb3c6cc5c81dda5865b766",
  "private": false,
  "record": {
    "abstract": "This paper is concerned with the connection between density matrix method,\nsupersymmetric quantum mechanics and Lewis-Riesenfeld invariant theory. It is\nshown that these three formulations share the common mathematical structure:\nspecifically, all of them have the invariant operators which satisfies the\nLiouville-Von Neumann equation and the solutions to the time-dependent\nSchr\\\"{o}dinger equation and/or Schr\\\"{o}dinger eigenvalue equation can be\nconstructed in terms of the eigenstates of the invariants.",
    "arxiv_id": "quant-ph/0309061",
    "authors": [
      "Jian Qi Shen"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "The Connection Between Density Matrix Method, Supersymmetric Quantum   Mechanics and Lewis-Riesenfeld Invariant Theory",
    "url": "https://arxiv.org/abs/quant-ph/0309061"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ffda5385-00dd-4c1e-b779-4b4a56c56cc0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}