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

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Abstract

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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Authors and Affiliations

  1. Department of Mathematics, University of Toronto, Toronto, Canada

    Israel Michael Sigal

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  1. Israel Michael Sigal
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Correspondence to Israel Michael Sigal.

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To Jürg and Tom, with admiration.

Supported by NSERC Grant No. NA7901.

Visiting IAS, Princeton, NJ, USA.

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Sigal, I.M. Ground State and Resonances in the Standard Model of the Non-Relativistic QED. J Stat Phys 134, 899–939 (2009). https://doi.org/10.1007/s10955-009-9721-5

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  • DOI: https://doi.org/10.1007/s10955-009-9721-5

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