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arXiv · 2002.02676

Existence of the ground state for the Pauli-Fierz model with a variable mass

Takeru Hidaka
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Abstract

The Pauli-Fierz model with a variable mass $v$ is considered. An ultraviolet cutoff and an infrared regularity condition are imposed on a quantized radiation field. It is shown that the ground state exists for arbitrary values of coupling constants, when $v(x)\leq c\langle x\rangle^{-β}$, $β>3$.

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Takeru Hidaka. 2020-02-12. Existence of the ground state for the Pauli-Fierz model with a variable mass. https://arxiv.org/abs/2002.02676

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