{
  "annotation_id": "9ad56c28-f14a-486a-807f-1d552250c6ca",
  "date_created": "2026-03-02T18:00:53.292000Z",
  "date_modified": "2026-03-02T18:00:53.292000Z",
  "file_hash": "5a820aeb7e37d461d2197fcb202d1ee5dc3bddeb5b25dfca3a933cebcefc9f52",
  "private": false,
  "record": {
    "abstract": "We present the derivation of the effective higher-order Hamiltonian, which\ngives $m \\alpha^6$ contribution to energy levels of an arbitrary light atom.\nThe derivation is based on the Foldy-Wouthuysen transformation of the\none-particle Dirac Hamiltonian followed by perturbative expansion of the many\nparticle Green function. The obtained results can be used for the high\nprecision calculation of relativistic effects in atomic systems.",
    "arxiv_id": "physics/0411168",
    "authors": [
      "Krzysztof Pachucki"
    ],
    "categories": [
      "physics.atom-ph",
      "physics.chem-ph"
    ],
    "doi": "10.1103/PhysRevA.71.012503",
    "title": "Higher-order effective Hamiltonian for light atomic systems",
    "url": "https://arxiv.org/abs/physics/0411168"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1b21dcd5-8860-4e5a-9bc6-69b72480138d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}