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Enhanced Binding in Non-Relativistic QED

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Abstract:

 We consider a spinless particle coupled to a photon field and prove that even if the Schrödinger operator p 2+V does not have eigenvalues the system can have a ground state. We describe the coupling by means of the Pauli-Fierz Hamiltonian and our result holds in the case where the coupling constant α is small.

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Authors and Affiliations

  1. Mathematisches Institut, LMU München, Theresienstrasse 39, 80333 Munich, Germany. E-mail: hainzl@mathematik.uni-muenchen.de; wugalter@mathematik.uni-muenchen.de, , , , , , DE

    Christian Hainzl & Semjon A. Vugalter

  2. Department of Mathematics, University of British Columbia, Vancouver, B.C. V6T 1Z2, Canada. E-mail: vitali@math.ubc.ca, , , , , , CA

    Vitali Vougalter

Authors
  1. Christian Hainzl
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  2. Vitali Vougalter
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  3. Semjon A. Vugalter
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Received: 7 January 2002 / Accepted: 8 November 2002 Published online: 13 January 2003

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Hainzl, C., Vougalter, V. & Vugalter, S. Enhanced Binding in Non-Relativistic QED. Commun. Math. Phys. 233, 13–26 (2003). https://doi.org/10.1007/s00220-002-0787-z

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  • DOI: https://doi.org/10.1007/s00220-002-0787-z

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