Phan Thanh, Nam; Salzmann, Robert (2020): Derivation of 3D Energy-Critical Nonlinear Schrodinger Equation and Bogoliubov Excitations for Bose Gases. In: Communications in Mathematical Physics, Vol. 375, No. 1: pp. 495-571 |
Full text not available from 'Open Access LMU'.
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.
Item Type: | Journal article |
---|---|
Faculties: | Mathematics, Computer Science and Statistics > Mathematics |
Subjects: | 500 Science > 510 Mathematics |
ISSN: | 0010-3616 |
Language: | English |
ID Code: | 88923 |
Deposited On: | 25. Jan 2022 09:28 |
Last Modified: | 25. Jan 2022 09:28 |
Repository Staff Only: item control page