Local Decay in Non-relativistic QED
T. Chen, J. Faupin, J. Froehlich, I.M. Sigal
TL;DR
This paper establishes the limiting absorption principle for a dressed electron in non-relativistic QED using advanced mathematical techniques, providing insights into the spectral properties of the model.
Contribution
It introduces a novel proof of the limiting absorption principle in non-relativistic QED employing the smooth Feshbach-Schur map and Mourre's theory.
Findings
Proves the limiting absorption principle for dressed electrons at fixed momentum.
Utilizes the smooth Feshbach-Schur map and Mourre's theory for the proof.
Enhances understanding of spectral properties in non-relativistic QED.
Abstract
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.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Quantum chaos and dynamical systems · Theoretical and Computational Physics