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math-ph2018★ 8 cited
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…
math-ph2018★ 8 cited
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…