{
  "annotation_id": "b160bf2d-5d05-4aeb-b2bc-14a970e70aa3",
  "date_created": "2026-03-02T18:00:56.866000Z",
  "date_modified": "2026-03-02T18:00:56.866000Z",
  "file_hash": "18ef71d9f1ee3486672d2ca45cec8b22f4a058511a34e6ed6624b37d24554f5b",
  "private": false,
  "record": {
    "abstract": "Effective interaction operators usually act on a restricted model space and\ngive the same energies (for Hamiltonian) and matrix elements (for transition\noperators etc.) as those of the original operators between the corresponding\ntrue eigenstates. Various types of effective operators are possible. Those well\ndefined effective operators have been shown being related to each other by\nsimilarity transformation. Some of the effective operators have been shown to\nhave connected-diagram expansions. It is shown in this paper that under a class\nof very general similarity transformations, the connectivity is conserved. The\nsimilarity transformation between hermitian and non-hermitian\nRayleigh-Schr\\\"{o}dinger perturbative effective operators is one of such\ntransformation and hence the connectivity can be deducted from each other.",
    "arxiv_id": "physics/0505163",
    "authors": [
      "Chang-Kui Duan",
      "Yungui Gong",
      "Hui-Ning Dong",
      "Michael F. Reid"
    ],
    "categories": [
      "physics.comp-ph",
      "physics.atom-ph"
    ],
    "doi": "10.1063/1.1782072",
    "journal_ref": "JOURNAL OF CHEMICAL PHYSICS 121, 5076 (2004)",
    "title": "Conservation of connectivity of model-space effective interactions under   a class of similarity transformation",
    "url": "https://arxiv.org/abs/physics/0505163"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "635791dd-9803-4b84-b967-ede7572ab27d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}