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

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.

preprint2014arXivOpen access
Jérémy FaupinJuerg FroehlichBaptiste Schubnel
math-phmath.MP
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Jérémy FaupinJuerg FroehlichBaptiste Schubnel

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