Derivation of 3D Energy-Critical Nonlinear Schrödinger Equation and Bogoliubov Excitations for Bose Gases

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 approxim...

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Veröffentlicht in:	Communications in mathematical physics 2020-04, Vol.375 (1), p.495-571
Hauptverfasser:	Nam, Phan Thành, Salzmann, Robert
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Classical and Quantum Gravitation Complex Systems Mathematical analysis Mathematical and Computational Physics Mathematical Physics Physics Physics and Astronomy Quantum Physics Relativity Theory Schrodinger equation Theoretical Wave functions
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