---
res:
bibo_abstract:
- In this paper, we introduce a novel method for deriving higher order corrections
to the mean-field description of the dynamics of interacting bosons. More precisely,
we consider the dynamics of N d-dimensional bosons for large N. The bosons initially
form a Bose–Einstein condensate and interact with each other via a pair potential
of the form (N−1)−1Ndβv(Nβ·)forβ∈[0,14d). We derive a sequence of N-body functions
which approximate the true many-body dynamics in L2(RdN)-norm to arbitrary precision
in powers of N−1. The approximating functions are constructed as Duhamel expansions
of finite order in terms of the first quantised analogue of a Bogoliubov time
evolution.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Lea
foaf_name: Bossmann, Lea
foaf_surname: Bossmann
foaf_workInfoHomepage: http://www.librecat.org/personId=A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425
orcid: 0000-0002-6854-1343
- foaf_Person:
foaf_givenName: Nataša
foaf_name: Pavlović, Nataša
foaf_surname: Pavlović
- foaf_Person:
foaf_givenName: Peter
foaf_name: Pickl, Peter
foaf_surname: Pickl
- foaf_Person:
foaf_givenName: Avy
foaf_name: Soffer, Avy
foaf_surname: Soffer
bibo_doi: 10.1007/s10955-020-02500-8
bibo_volume: 178
dct_date: 2020^xs_gYear
dct_isPartOf:
- http://id.crossref.org/issn/0022-4715
- http://id.crossref.org/issn/1572-9613
dct_language: eng
dct_publisher: Springer Nature@
dct_title: Higher order corrections to the mean-field description of the dynamics
of interacting bosons@
...