Local Decay in Non-relativistic QED

Thomas Chen (1) , Jérémy Faupin (2) , Jürg Fröhlich (3) , Israel Michael Sigal (4)

1 University of Texas at Austin [Austin]
2 IMB - Institut de Mathématiques de Bordeaux
3 ETH Zürich - Eidgenössische Technische Hochschule - Swiss Federal Institute of Technology [Zürich]
4 University of Toronto

We prove the limiting absorption principle for a dressed electron at a fixed total momentum in the standard model of non-relativistic quantum electrodynamics. Our proof is based on an application of the smooth Feshbach-Schur map in conjunction with Mourre's theory.

Domaines: Physique mathématique [math-ph]

Thomas Chen, Jérémy Faupin, Jürg Fröhlich, Israel Michael Sigal. Local Decay in Non-relativistic QED. Communications in Mathematical Physics, 2012, 309 (2), pp.543-583. ⟨10.1007/s00220-011-1339-1⟩. ⟨hal-01279968⟩