Resolvent smoothness and local decay at low energies for the standard model of non-relativistic QED
Language
en
Article de revue
This item was published in
Journal of Functional Analysis. 2012, vol. 262, n° 3, p. 850-888
Elsevier
English Abstract
We consider an atom interacting with the quantized electromagnetic field in the standard model of non-relativistic QED. The nucleus is supposed to be fixed. We prove smoothness of the resolvent and local decay of the photon ...Read more >
We consider an atom interacting with the quantized electromagnetic field in the standard model of non-relativistic QED. The nucleus is supposed to be fixed. We prove smoothness of the resolvent and local decay of the photon dynamics for quantum states in a spectral interval I just above the ground state energy. Our results are uniform with respect to I. Their proofs are based on abstract Mourreʼs theory, a Mourre inequality established by Fröhlich, Griesemer and Sigal (see Fröhlich et al. (2008) [14]), Hardy-type estimates in Fock space, and a low-energy dyadic decomposition.Read less <
English Keywords
Non-relativistic QED
Resolvent estimates
Local energy decay
Mourre theory
Origin
Hal imported