---
res:
bibo_abstract:
- We consider the ground state properties of an inhomogeneous two-dimensional Bose
gas with a repulsive, short range pair interaction and an external confining potential.
In the limit when the particle number N is large but ρ̄a2 is small, where ρ̄ is
the average particle density and a the scattering length, the ground state energy
and density are rigorously shown to be given to leading order by a Gross-Pitaevskii
(GP) energy functional with a coupling constant g ∼ 1/| 1n(ρ̄a2)|. In contrast
to the 3D case the coupling constant depends on N through the mean density. The
GP energy per particle depends only on Ng. In 2D this parameter is typically so
large that the gradient term in the GP energy functional is negligible and the
simpler description by a Thomas-Fermi type functional is adequate.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Élliott
foaf_name: Lieb, Élliott H
foaf_surname: Lieb
- foaf_Person:
foaf_givenName: Robert
foaf_name: Robert Seiringer
foaf_surname: Seiringer
foaf_workInfoHomepage: http://www.librecat.org/personId=4AFD0470-F248-11E8-B48F-1D18A9856A87
- foaf_Person:
foaf_givenName: Jakob
foaf_name: Yngvason, Jakob
foaf_surname: Yngvason
bibo_doi: 10.1007/s002200100533
bibo_issue: '1'
bibo_volume: 224
dct_date: 2001^xs_gYear
dct_publisher: Springer@
dct_title: A rigorous derivation of the Gross-Pitaevskii energy functional for a
two-dimensional Bose gas@
...