Mathematical Physics
[Submitted on 15 Sep 2015 (v1), last revised 26 Aug 2017 (this version, v3)]
Title:Bogoliubov correction to the mean-field dynamics of interacting bosons
View PDFAbstract:We consider the dynamics of a large quantum system of $N$ identical bosons in 3D interacting via a two-body potential of the form $N^{3\beta-1} w(N^\beta(x-y))$. For fixed $0\leq \beta <1/3$ and large $N$, we obtain a norm approximation to the many-body evolution in the $N$-particle Hilbert space. The leading order behaviour of the dynamics is determined by Hartree theory while the second order is given by Bogoliubov theory.
Submission history
From: Phan Thành Nam [view email][v1] Tue, 15 Sep 2015 16:31:53 UTC (33 KB)
[v2] Mon, 23 Nov 2015 12:18:08 UTC (34 KB)
[v3] Sat, 26 Aug 2017 06:14:39 UTC (35 KB)
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