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

2013/02/12 by Volker Bach, Miguel Ballesteros, Bach, Volker +3 · 2 citations
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1302.2829

116 pages

arxiv created 2013/02/12 · arxiv updated 2013/02/13

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 \citePizzo2003 and \citeBachFrohlichPizzo2006. 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 \citeSigal2010.

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