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Local Decay in Non-Relativistic QED

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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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Authors and Affiliations

  1. Department of Mathematics, University of Texas at Austin, Austin, TX, USA

    T. Chen

  2. Institut de Mathématiques de Bordeaux, UMR-CNRS 5251, Université de Bordeaux 1, 351 Cours de la Libération, 33405, Talence Cedex, France

    J. Faupin

  3. Institut für Theoretische Physik, ETH Hönggerberg, 8093, Zürich, Switzerland

    J. Fröhlich

  4. Department of Mathematics, University of Toronto, Toronto, ON, M5S 2E4, Canada

    I. M. Sigal

Authors
  1. T. Chen
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  2. J. Faupin
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  3. J. Fröhlich
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  4. I. M. Sigal
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Corresponding author

Correspondence to J. Faupin.

Additional information

Communicated by M. Salmhofer

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Chen, T., Faupin, J., Fröhlich, J. et al. Local Decay in Non-Relativistic QED. Commun. Math. Phys. 309, 543–582 (2012). https://doi.org/10.1007/s00220-011-1339-1

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