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

@inproceedings{Falconi2021BogoliubovDA, title={Bogoliubov Dynamics and Higher-order Corrections for the Regularized Nelson Model}, author={Marco Falconi and Nikolai Leopold and David Mitrouskas and Soren Petrat}, year={2021} }

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…

## One Citation

Derivation of the Maxwell-Schr\"odinger Equations: A note on the infrared sector of the radiation field

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We slightly extend prior results about the derivation of the Maxwell-Schrödinger equations from the bosonic Pauli-Fierz Hamiltonian. More concretely, we show that the ﬁndings from [25] about the…

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