# Bogoliubov Dynamics and Higher-order Corrections for the Regularized Nelson Model

@article{Falconi2022BogoliubovDA,
title={Bogoliubov Dynamics and Higher-order Corrections for the Regularized Nelson Model},
author={Marco Falconi and Nikolai Leopold and David Mitrouskas and Soren Petrat},
journal={Reviews in Mathematical Physics},
year={2022}
}
• Published 1 October 2021
• Mathematics
• Reviews in Mathematical Physics
We study the time evolution of the Nelson model in a mean-field limit in which N nonrelativistic bosons weakly couple (w.r.t. the particle number) to a positive or zero mass quantized scalar field. Our main result is the derivation of the Bogoliubov dynamics and higher-order corrections. More precisely, we prove the convergence of the approximate wave function to the many-body wave function in norm, with a convergence rate proportional to the number of corrections taken into account in the…
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