Infrared-finite algorithms in QED II. The expansion of the groundstate of an atom interacting with the quantized radiation field

• Autores: Volker Bach, Jürg Fröhlich, Alessandro Pizzo
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 220, Nº 4, 2009, págs. 1023-1074
• Idioma: inglés
• DOI: 10.1016/j.aim.2008.10.006
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• Resumen

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