Existence and Construction of Resonances for Atoms Coupled to the Quantized Radiation Field
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 Pizzo2003 and 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 α 1/137, and is thus an alternative method of proof of a similar result obtained in Sigal2010.
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