A solvable lattice model and related Rogers-Ramanujan type identities
type: Item
instance of: scholarly article
title: A solvable lattice model and related Rogers-Ramanujan type identities
zbMATH Open document ID: 0601.60100
DOI: 10.1016/S0167-2789(85)80003-8
published in: Physica D
publication date: 1985-01-01T00:00:00Z
review text: The authors give a natural generalization of Baxter's hard hexagon model to three spin states. An exactly solvable lattice model is presented. In chapters 2 and 3 of the paper the free and spin densities respectively are calculated. Related Rogers-Ramanujan type identities, which play a key role in the derivation of the theta function expressions for the spin densities, are also studied.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 82B05
Mathematics Subject Classification ID: 82B20
Mathematics Subject Classification ID: 11P81
Mathematics Subject Classification ID: 05A19
zbMATH DE Number: 3969839
zbMATH Keywords: Baxter's hard hexagon model
zbMATH Keywords: lattice model
zbMATH Keywords: Rogers-Ramanujan type identities
author: M. Jimbo
author: T. Miwa
MaRDI profile type: Publication
cites work: Q3324796
cites work: A Combinatorial Generalization of the Rogers-Ramanujan Identities
cites work: Q4146776
cites work: A new family of algebras underlying the Rogers-Ramanujan identities and generalizations
cites work: Further Identities of the Rogers-Ramanujan Type
cites work: Complete integrability in statistical mechanics and the Yang-Baxter equations
cites work: The hard-hexagon model and Rogers—Ramanujan type identities
description: scientific article; zbMATH DE number 3969839