06-140 V. Bach, J. Froehlich, A. Pizzo

Infrared-Finite Algorithms in QED II. The Expansion of the Groundstate of An Atom Interacting with the Quantized Radiation Field (646K, postscript) Apr 30, 06

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Abstract. In this paper, we present an explicit and constructive algorithm enabling us to calculate the groundstate and the groundstate energy of a nonrelativistic atom minimally coupled to the quantized radiation field up to an error of arbitrary finite order in the feinstructure constant. Because of infrared divergences, which invalidate a straightforward Taylor expansion, an iterative construction is employed to remove the infrared cutoff in photon momentum space and to produce a convergent algorithm.

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