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arXiv · 1308.2504

Analyticity of the self-energy in total momentum of an atom coupled to the quantized radiation field

Jérémy Faupin·Juerg Froehlich·Baptiste Schubnel
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Abstract

We study a neutral atom with a non-vanishing electric dipole moment coupled to the quantized electromagnetic field. For a sufficiently small dipole moment and small momentum, the one-particle (self-) energy of an atom is proven to be a real-analytic function of its momentum. The main ingredient of our proof is a suitable form of the Feshbach-Schur spectral renormalization group.

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Jérémy Faupin, Juerg Froehlich, Baptiste Schubnel. 2014-09-28. Analyticity of the self-energy in total momentum of an atom coupled to the quantized radiation field. https://arxiv.org/abs/1308.2504

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