Spectral Renormalization Group and Local Decay in the Standard Model of the Non-relativistic Quantum Electrodynamics

Details Spectral Renormalization Group and Local Decay in the Standard Model of the Non-relativistic Quantum Electrodynamics Spectral Renormalization Group and Local Decay in the Standard Model of the Non-relativistic Quantum Electrodynamics

2009-04-06

arxiv.org/abs/0904.1014v1

Rev.Math.Phys.23:179-209,2011

Physics

Mathematical Physics

Scientific paper

10.1142/S0129055X11004266

We prove the limiting absorption principle for the standard model of the
non-relativistic quantum electrodynamics (QED) and for the Nelson model
describing interactions of electrons with phonons. To this end we use the
spectral renormalization group technique on the continuous spectrum in
conjunction with the Mourre theory.

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