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arXiv · 1302.2829

Existence and Construction of Resonances for Atoms Coupled to the Quantized Radiation Field

Volker Bach·Miguel Ballesteros·Alessandro Pizzo
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Abstract

For a nonrelativistic atom, which is minimally coupled to the quantized radiation field, resonances emerging from excited atomic eigenstates are constructed by an iteration scheme inspired by \cite{Pizzo2003} and \cite{BachFrohlichPizzo2006}. This scheme successively removes an infrared cut off in momentum space and yields a convergent algorithm enabling us to calculate the resonance eigenvalues and eigenstates, to arbitrary order in the feinstructure constant $\alpha \sim 1/137$, and is thus an alternative method of proof of a similar result obtained in \cite{Sigal2010}.

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Volker Bach, Miguel Ballesteros, Alessandro Pizzo. 2013-02-12. Existence and Construction of Resonances for Atoms Coupled to the Quantized Radiation Field. https://arxiv.org/abs/1302.2829

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