40 citations · 128 across the 13 of their papers we have counts for
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math-ph2019★ 27 cited
Beyond Bogoliubov Dynamics
Lea Boßmann, Sören Petrat, Peter Pickl +1
We consider a system of N interacting bosons in the mean-field scaling regime and construct corrections to the Bogoliubov dynamics that approximate the true N-body dynamics in norm…
math-ph2019★ 7 cited
Derivation of the 2d Gross-Pitaevskii equation for strongly confined 3d bosons
Lea Boßmann
We study the dynamics of a system of interacting bosons in a disc-shaped trap, which is realised by an external potential that confines the bosons in one spatial dimension to a…
math-ph2019★ 28 cited
Higher order corrections to the mean-field description of the dynamics of interacting bosons
Lea Boßmann, Nataša Pavlović, Peter Pickl +1
In this paper, we introduce a novel method for deriving higher order corrections to the mean-field description of the dynamics of interacting bosons. More precisely, we consider th…