Geodesic
Spectral analysis of relativistic atoms -- interaction with the quantized radiation field
Documenta mathematica, Tome 14 (2009), pp. 115-156.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: This is the the second part of a series of two papers, which investigate spectral properties of Dirac operators with singular potentials. We will provide a spectral analysis of a relativistic one-electron atom in interaction with the second quantized radiation field and thus extend the work of Bach, Fröhlich, and Sigal citeBachetal1999S and Hasler, Herbst, and Huber citeHasleretal2008 to such systems. In particular, we show that the lifetime of excited states in a relativistic hydrogen atom coincides with the life time given by Fermi's Golden Rule in the non-relativistic case. We will rely on the technical preparations derived in the first part citeHuber2008S of this work.
Classification : 81V10, 35J99, 35Q40, 81Q10, 81T99
Keywords: Dirac-operator, quantum electrodynamics, spectral analysis, Fermi golden rule 
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     author = {Huber, Matthias},
     title = {Spectral analysis of relativistic atoms -- interaction with the quantized radiation field},
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     year = {2009},
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     url = {http://geodesic.mathdoc.fr/item/DOCMA_2009__14__a23/}
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Huber, Matthias. Spectral analysis of relativistic atoms -- interaction with the quantized radiation field. Documenta mathematica, Tome 14 (2009), pp. 115-156. http://geodesic.mathdoc.fr/item/DOCMA_2009__14__a23/