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Binding Threshold for the Pauli–Fierz Operator

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Abstract

For the Pauli–Fierz operator with a short range potential we study the binding threshold λ1(α) as a function of the fine structure constant α and show that it converges to the binding threshold for the Schrödinger operator in the limit α → 0.

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Author information

Authors and Affiliations

  1. Department of Physics, P. Universidad Católica de Chile, Casilla 306, Santiago 22, Chile

    Rafael D. Benguria

  2. Matematisches Institut, LMU München, Theresienstrasse 39, 80333, Munich, Germany

    Semjon A. Vugalter

Authors
  1. Rafael D. Benguria
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  2. Semjon A. Vugalter
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Corresponding author

Correspondence to Rafael D. Benguria.

Additional information

This work was supported in part by Fondecyt (Chile), Project #102-0844. Work partially supported by HPRN-CT-2002-00277, and the Volkswagen Stiftung through a cooperation grant.

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Benguria, R.D., Vugalter, S.A. Binding Threshold for the Pauli–Fierz Operator. Lett Math Phys 70, 249–257 (2004). https://doi.org/10.1007/s11005-004-4298-z

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  • DOI: https://doi.org/10.1007/s11005-004-4298-z

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