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- W2897548188 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." @default.
- W2897548188 created "2018-10-26" @default.
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- W2897548188 date "2018-10-22" @default.
- W2897548188 modified "2023-10-14" @default.
- W2897548188 title "Derivation of 3D energy-critical nonlinear Schrodinger equation and Bogoliubov excitations for Bose gases" @default.
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