The no-binding regime of the Pauli-Fierz model

Fumio Hiroshima, Herbert Spohn, Akito Suzuki

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The Pauli-Fierz model H(α) in nonrelativistic quantum electrodynamics is considered. The external potential V is sufficiently shallow and the dipole approximation is assumed. It is proven that there exist constants 0 < α- < α+ such that H(α) has no ground state for |α| < α-, which complements an earlier result stating that there is a ground state for |α| > α+.We develop a suitable extension of the Birman-Schwinger argument.Moreover, for any givend δ > 0 examples of potentials V are provided such that α+ - α- < δ.

Original languageEnglish
Article number062104
JournalJournal of Mathematical Physics
Volume52
Issue number6
DOIs
Publication statusPublished - Jun 3 2011

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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