Ground State and Resonances in the Standard Model of the Non-Relativistic QED

We prove existence of a ground state and resonances in the standard model of the non-relativistic quantum electro-dynamics (QED). To this end we introduce a new canonical transformation of QED Hamiltonians and use the spectral renormalization group technique with a new choice of Banach spaces.

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Bibliographic Details
Published in:Journal of statistical physics 2009-03, Vol.134 (5-6), p.899-939
Main Author: Sigal, Israel Michael
Format: Article
Language:English
Subjects:
Mathematical and Computational Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
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Description
Summary:We prove existence of a ground state and resonances in the standard model of the non-relativistic quantum electro-dynamics (QED). To this end we introduce a new canonical transformation of QED Hamiltonians and use the spectral renormalization group technique with a new choice of Banach spaces.
ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-009-9721-5