---
res:
bibo_abstract:
- Consider N bosons in a finite box Λ= [0,L]3⊂ R3 interacting via a two-body non-negative
soft potential V=λ V with V fixed and λ>0 small. We will take the limit L,N→∞
by keeping the density =N/L3 fixed and small. We construct a variational state,
which gives an upper bound on the ground-state energy per particle ε, ε≤4πa [1+
(128/15π) (a3) 1/2 Sλ] +O (2 ln ), as →0, with a constant satisfying 1≤ Sλ ≤1+Cλ.
Here a is the scattering length of V and thus depends on λ. In comparison, the
prediction by Lee and Yang [Phys. Rev. 105, 1119 (1957)] and Lee, Huang, and Yang
[Phys. Rev. 106, 1135 (1957)] asserts that Sλ =1 independent of λ.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: László
foaf_name: László Erdös
foaf_surname: Erdös
foaf_workInfoHomepage: http://www.librecat.org/personId=4DBD5372-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0001-5366-9603
- foaf_Person:
foaf_givenName: Benjamin
foaf_name: Schlein, Benjamin
foaf_surname: Schlein
- foaf_Person:
foaf_givenName: Horng
foaf_name: Yau, Horng-Tzer
foaf_surname: Yau
bibo_doi: 10.1103/PhysRevA.78.053627
bibo_issue: '5'
bibo_volume: 78
dct_date: 2008^xs_gYear
dct_publisher: American Physical Society@
dct_title: 'Ground-state energy of a low-density Bose gas: A second-order upper
bound@'
...