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arXiv · 0903.1854

Quantitative estimates on the Hydrogen ground state energy in non-relativistic QED

Jean-Marie Barbaroux·Thomas Chen·Semjon Vugalter·Vitali Vougalter
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Abstract

In this paper, we determine the exact expression for the hydrogen binding energy in the Pauli-Fierz model up to the order $O(α^5\logα^{-1})$, where $α$ denotes the finestructure constant, and prove rigorous bounds on the remainder term of the order $o(α^5\logα^{-1})$. As a consequence, we prove that the binding energy is not a real analytic function of $α$, and verify the existence of logarithmic corrections to the expansion of the ground state energy in powers of $α$, as conjectured in the recent literature.

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Jean-Marie Barbaroux, Thomas Chen, Semjon Vugalter, Vitali Vougalter. 2010-06-04. Quantitative estimates on the Hydrogen ground state energy in non-relativistic QED. https://doi.org/10.1007/s00023-010-0064-1

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