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arXiv · 1104.0990

The No-Binding Regime of the Pauli-Fierz Model

Fumio Hiroshima·Herbert Spohn·Akito Suzuki
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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 given $δ>0$ examples of potentials $V$ are provided such that $α_+-α_-<δ$.

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Fumio Hiroshima, Herbert Spohn, Akito Suzuki. 2011-04-06. The No-Binding Regime of the Pauli-Fierz Model. https://doi.org/10.1063/1.3598465

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