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

2013/08/12 by Jérémy Faupin, Faupin, Jérémy, Froehlich, Juerg +2 · 1 citation
Mathematics · Physics and Astronomy · #Spectral Theory in Mathematical Physics #Cold Atom Physics and Bose-Einstein Condensates #Quantum optics and atomic interactions

paper · pdf · doi:10.48550/arxiv.1308.2504

Abstract

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

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