dorsal/arxiv
View SchemaToward high-precision values of the self energy of non-S states in hydrogen and hydrogen-like ions
| Authors | Eric-Olivier Le Bigot, Ulrich D. Jentschura, Paul Indelicato, Peter J. Mohr |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410110 |
| URL | https://arxiv.org/abs/quant-ph/0410110 |
| DOI | 10.1139/p04-076 |
| Journal | Canadian Journal of Physics 83 (2005) 447-454 |
Abstract
The method and status of a study to provide numerical, high-precision values of the self-energy level shift in hydrogen and hydrogen-like ions is described. Graphs of the self energy in hydrogen-like ions with nuclear charge number between 20 and 110 are given for a large number of states. The self-energy is the largest contribution of Quantum Electrodynamics (QED) to the energy levels of these atomic systems. These results greatly expand the number of levels for which the self energy is known with a controlled and high precision. Applications include the adjustment of the Rydberg constant and atomic calculations that take into account QED effects.
{
"annotation_id": "4806830d-b1b3-413e-a4cf-607234b4fbde",
"date_created": "2026-03-02T18:02:10.341000Z",
"date_modified": "2026-03-02T18:02:10.341000Z",
"file_hash": "0e95abb20be58b4213c40e524b00e754569cf7a6f8467feefc7db5826e55064d",
"private": false,
"record": {
"abstract": "The method and status of a study to provide numerical, high-precision values\nof the self-energy level shift in hydrogen and hydrogen-like ions is described.\nGraphs of the self energy in hydrogen-like ions with nuclear charge number\nbetween 20 and 110 are given for a large number of states. The self-energy is\nthe largest contribution of Quantum Electrodynamics (QED) to the energy levels\nof these atomic systems. These results greatly expand the number of levels for\nwhich the self energy is known with a controlled and high precision.\nApplications include the adjustment of the Rydberg constant and atomic\ncalculations that take into account QED effects.",
"arxiv_id": "quant-ph/0410110",
"authors": [
"Eric-Olivier Le Bigot",
"Ulrich D. Jentschura",
"Paul Indelicato",
"Peter J. Mohr"
],
"categories": [
"quant-ph"
],
"doi": "10.1139/p04-076",
"journal_ref": "Canadian Journal of Physics 83 (2005) 447-454",
"title": "Toward high-precision values of the self energy of non-S states in hydrogen and hydrogen-like ions",
"url": "https://arxiv.org/abs/quant-ph/0410110"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "460b6865-fb3d-4945-9dae-a83e80506453",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}