{"paper":{"title":"Quantitative estimates on the Hydrogen ground state energy in non-relativistic QED","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Jean-Marie Barbaroux, Semjon Vugalter, Thomas Chen, Vitali Vougalter","submitted_at":"2009-03-11T00:50:39Z","abstract_excerpt":"In this paper, we determine the exact expression for the hydrogen binding energy in the Pauli-Fierz model up to the order $O(\\alpha^5\\log\\alpha^{-1})$, where $\\alpha$ denotes the finestructure constant, and prove rigorous bounds on the remainder term of the order $o(\\alpha^5\\log\\alpha^{-1})$. As a consequence, we prove that the binding energy is not a real analytic function of $\\alpha$, and verify the existence of logarithmic corrections to the expansion of the ground state energy in powers of $\\alpha$, as conjectured in the recent literature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.1854","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}