Pointwise bounds on confined states in non-relativistic QED

• URL: http://arxiv.org/abs/2307.14986v3
• Date: Mon, 10 Feb 2025 14:56:30 GMT
• Title: Pointwise bounds on confined states in non-relativistic QED
• Authors: M. Griesemer, V. Kußmaul,
• Abstract summary: We show that eigenstates satisfy a subsolution estimate in non-relativistic quantum electrodynamics. We also give a proof of pointwise exponential decay in the electronic configuration.
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• Abstract: Kato's well known distributional inequality for the magnetic Laplacian holds equally in the more general setting of non-relativistic quantum electrodynamics (QED), where the wave function is vector-valued and the vector potential is quantized. We give two new applications of this result: First, we show that eigenstates satisfy a subsolution estimate. Second, for general states, with energy distribution strictly below the ionization threshold, we give a short proof of pointwise exponential decay in the electronic configuration.

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