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Hamiltonian limit of the 3D Zamolodchikov model
Authors:R J Baxter  G R W Quispel
Institution:(1) Mathematics Research Section, School of Mathematical Sciences, Australian National University, 2601 Canberra, ACT, Australia;(2) Department of Theoretical Physics, Research School of Physical Sciences, Australian National University, 2601 Canberra, ACT, Australia
Abstract:A two-dimensional quantum Hamiltonian hamilt N,M commuting with the layer-to-layer transfer matrix of the three-dimensional Zamolodchikov model is derived. This Hamiltonian is defined on a lattice ofN×M sites. The special casesN×2, 2×M, and 3×M are studied.This paper is dedicated to Cyril Domb.
Keywords:Statistical mechanics  lattice models  transfer matrix  Hamiltonian
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