Pointwise bounds on confined states in non-relativistic QED
Mathematical Physics
2025-02-11 v3 Analysis of PDEs
math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.2307.14986,
title = {Pointwise bounds on confined states in non-relativistic QED},
author = {M. Griesemer and V. Kußmaul},
journal= {arXiv preprint arXiv:2307.14986},
year = {2025}
}
Comments
15 pages, paper largely rewritten with a modified title that indicates the new result, which concerns all confined states, rather than just the eigenstates