The no-binding regime of the Pauli-Fierz model

Fumio Hiroshima, Herbert Spohn, Akito Suzuki

研究成果: ジャーナルへの寄稿記事

3 引用 (Scopus)

抄録

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.

元の言語英語
記事番号062104
ジャーナルJournal of Mathematical Physics
52
発行部数6
DOI
出版物ステータス出版済み - 6 3 2011

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Electrodynamics
Dipole
Approximation
quantum electrodynamics
dipoles
approximation
Model

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

これを引用

The no-binding regime of the Pauli-Fierz model. / Hiroshima, Fumio; Spohn, Herbert; Suzuki, Akito.

:: Journal of Mathematical Physics, 巻 52, 番号 6, 062104, 03.06.2011.

研究成果: ジャーナルへの寄稿記事

Hiroshima, Fumio ; Spohn, Herbert ; Suzuki, Akito. / The no-binding regime of the Pauli-Fierz model. :: Journal of Mathematical Physics. 2011 ; 巻 52, 番号 6.
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