TY - JOUR AB - We study the time evolution of the Nelson model in a mean-field limit in which N nonrelativistic bosons weakly couple (with respect to 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 approximation. We prove an analogous result for the unitary propagator. As an application, we derive a simple system of partial differential equations describing the time evolution of the first- and second-order approximations to the one-particle reduced density matrices of the particles and the quantum field, respectively. AU - Falconi, Marco AU - Leopold, Nikolai K AU - Mitrouskas, David Johannes AU - Petrat, Sören P ID - 12430 IS - 4 JF - Reviews in Mathematical Physics SN - 0129-055X TI - Bogoliubov dynamics and higher-order corrections for the regularized Nelson model VL - 35 ER -