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On Enhanced Binding and Related Effectsin the Non- and Semi-Relativistic Pauli-Fierz Models

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Abstract

We prove enhanced binding and increase of binding energies in the non- and semi-relativistic Pauli-Fierz models, for arbitrary values of the fine-structure constant and the ultra-violet cut-off, and discuss the resulting improvement of exponential localization of ground state eigenvectors. For the semi-relativistic model we also discuss the increase of the renormalized electron mass and determine the linear leading order term in the asymptotics of the self-energy, as the ultra-violet cut-off goes to infinity.

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Author notes

  1. Oliver Matte

    Present address: Institut for Matematik, Århus Universitet, Ny Munkegade 118, 8000, Århus, Denmark

Authors and Affiliations

  1. Fakultät für Physik, Universität Wien, Boltzmanngasse 5, 1090, Vienna, Austria

    Martin Könenberg

  2. Mathematisches Institut, Ludwig-Maximilians-Universität, Theresienstraße 39, 80333, München, Germany

    Oliver Matte

Authors
  1. Martin Könenberg
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  2. Oliver Matte
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Correspondence to Oliver Matte.

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Communicated by H. Spohn

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Könenberg, M., Matte, O. On Enhanced Binding and Related Effectsin the Non- and Semi-Relativistic Pauli-Fierz Models. Commun. Math. Phys. 323, 635–661 (2013). https://doi.org/10.1007/s00220-013-1783-1

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  • DOI: https://doi.org/10.1007/s00220-013-1783-1

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