Relativistic corrections of order $m\alpha^6$: singular operators and regularization
Atomic Physics
2026-01-28 v4
Abstract
The finite operators are derived for the nonrecoil (leading order in the expansion) relativistic corrections in hydrogen-like atoms and ions at orders in the two- and three-body formalism beyond the adiabatic approximation. Singular operators that appear in the derivation are analysed, and various regularization methods are discussed.
Keywords
Cite
@article{arxiv.2505.16645,
title = {Relativistic corrections of order $m\alpha^6$: singular operators and regularization},
author = {Vladimir I Korobov},
journal= {arXiv preprint arXiv:2505.16645},
year = {2026}
}
Comments
12 pages