Boxed Skew Plane Partition and Integrable Phase Model

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.

25 pages, 6 figures, typos added, proof of Prop.2.1 and Fig.6 are modified. Some comments are added

References in corpus (3)

• Quantum Inverse Scattering Method and Correlation Functions
• Correlation functions for a strongly correlated boson system
• Boxed Plane Partitions as an Exactly Solvable Boson Model

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