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Phan Thanh, Nam ORCID logoORCID: https://orcid.org/0000-0001-7599-9742 und Salzmann, Robert (2020): Derivation of 3D Energy-Critical Nonlinear Schrodinger Equation and Bogoliubov Excitations for Bose Gases. In: Communications in Mathematical Physics, Bd. 375, Nr. 1: S. 495-571

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Abstract

We derive the 3D quintic NLS as the mean field limit of a Bose gas with three-body interactions. The quintic NLS is energy-critical, leading to several new difficulties in comparison with the cubic NLS which emerges from Bose gases with pair-interactions. Our method is based on Bogoliubov's approximation, which also provides the information on the fluctuations around the condensate in terms of a norm approximation for the N-body wave function.

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