4 papers
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…
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…
Derivation of the 1d NLS equation from the 3d quantum many-body dynamics of strongly confined bosons
Lea Boßmann
We consider the dynamics of interacting bosons initially exhibiting Bose-Einstein condensation. Due to an external trapping potential, the bosons are strongly confined in two s…
Derivation of the 1d Gross-Pitaevskii equation from the 3d quantum many-body dynamics of strongly confined bosons
Lea Boßmann, Stefan Teufel
We consider the dynamics of interacting bosons initially forming a Bose-Einstein condensate. Due to an external trapping potential, the bosons are strongly confined in two dime…