View source for Talk:Lieb-Liniger model of a Bose Gas

== Reviewer A: ==

The Lieb-Liniger model is one among the several models that were
studied by Lieb, and by Lieb and collaborators, in the sixties and
solved exactly by a systematic use of the Bethe Ansatz. It provides
insights, into the Bose-Einstein condensation problem, which have
eventually led to the recent understanding of the Bose-Einstein
phenomenon at least in several limiting situation.  Here the main
features of the model and of its technical solution are outlined. This
is an informative, short, introduction to the subject for general
audience and, at the same time, it is a stimulating guide to look and
study the original work and to follow its long term implications
through the selected recent references. The discussion is accurate and
careful. It is therefore a model for encyclopedic articles.

== Reviewer B:  ==

The article discusses the 1D Bose gas with repulsive delta interactions,
known as the Lieb-Liniger model. After an introduction, the author
defines the model and describes the exact solution, based on the Bethe
ansatz. He discusses how to derive in the thermodynamic limit an integral
expression for the two branches of the excitations spectrum, and
finally discusses recent rigorous results about the dimensional reduction
of a 3D system of bosons in an alongated trap (if the trap is quasi-one
dimensional, the ground state energy and the low lying excitation
energies are close to the 1D ones).

The article is very well written and clear. I recommend publication on
Scholarpedia.