Boxed Skew Plane Partition and Integrable Phase Model
Statistical Mechanics
2009-11-11 v2 Mathematical Physics
math.MP
Abstract
We study the relation between the boxed skew plane partition and the integrable phase model. We introduce a generalization of a scalar product of the phase model and calculate it in two ways; the first one in terms of the skew Schur functions, and another one by use of the commutation relations of operators. In both cases, a generalized scalar product is expressed as a determinant. We show that a special choice of the spectral parameters of a generalized scalar product gives the generating function of the boxed skew plane partition.
Keywords
Cite
@article{arxiv.cond-mat/0508090,
title = {Boxed Skew Plane Partition and Integrable Phase Model},
author = {Keiichi Shigechi and Masaru Uchiyama},
journal= {arXiv preprint arXiv:cond-mat/0508090},
year = {2009}
}
Comments
25 pages, 6 figures, typos added, proof of Prop.2.1 and Fig.6 are modified. Some comments are added