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arxiv: 0806.3297 · v2 · submitted 2008-06-19 · 🧮 math-ph · math.MP· math.SP

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

classification 🧮 math-ph math.MPmath.SP
keywords groundmodelnon-relativisticresonancesstandardstatebanachcanonical
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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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