Abstract
AbstractWe consider a system ofNbosons in the mean-field scaling regime for a class of interactions including the repulsive Coulomb potential. We derive an asymptotic expansion of the low-energy eigenstates and the corresponding energies, which provides corrections to Bogoliubov theory to any order in$1/N$.
Publisher
Cambridge University Press (CUP)
Subject
Computational Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Mathematical Physics,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science,Analysis
Reference70 articles.
1. [67] Solovej, J. P. , ‘Many body quantum mechanics’, unpublished notes (2007). URL: http://www.mathematik.uni-muenchen.de/~sorensen/Lehre/SoSe2013/MQM2/skript.pdf.
2. The excitation spectrum for weakly interacting bosons in a trap;Grech;Comm. Math. Phys.,2013
3. Derivation of the Bogoliubov time evolution for a large volume mean-field limit;Petrat;Ann. Henri Poincaré,2020
4. The excitation spectrum for weakly interacting bosons;Seiringer;Comm. Math. Phys.,2011
5. [20] Chong, J. , ‘Dynamics of large boson systems with attractive interaction and a derivation of the cubic focusing NLS in ${\mathbb{R}}^3$ ’, Preprint, 2016, arXiv:1608.01615.
Cited by
20 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献