{
  "annotation_id": "03423f69-39d5-43c0-9b8c-e65b0146cd60",
  "date_created": "2026-03-02T18:02:16.604000Z",
  "date_modified": "2026-03-02T18:02:16.604000Z",
  "file_hash": "bad78648c891e22171a16653fa4127665d7185f942fde16e0cb4e8881f10eec1",
  "private": false,
  "record": {
    "abstract": "We describe the calculation of hydrogenic (one-loop) Bethe logarithms for all\nstates with principal quantum numbers n \u003c= 200. While, in principle, the\ncalculation of the Bethe logarithm is a rather easy computational problem\ninvolving only the nonrelativistic (Schroedinger) theory of the hydrogen atom,\ncertain calculational difficulties affect highly excited states, and in\nparticular states for which the principal quantum number is much larger than\nthe orbital angular momentum quantum number. Two evaluation methods are\ncontrasted. One of these is based on the calculation of the principal value of\na specific integral over a virtual photon energy. The other method relies\ndirectly on the spectral representation of the Schroedinger-Coulomb propagator.\nSelected numerical results are presented. The full set of values is available\nat quant-ph/0504002.",
    "arxiv_id": "quant-ph/0504001",
    "authors": [
      "Ulrich D. Jentschura",
      "Peter J. Mohr"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.012110",
    "journal_ref": "Phys. Rev. A72 (2005) 012110",
    "title": "Calculation of Hydrogenic Bethe Logarithms for Rydberg States",
    "url": "https://arxiv.org/abs/quant-ph/0504001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "723f6f36-8145-4838-acb9-ef636f2efbf4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}