Abstract
A two-dimensional quantum Hamiltonian ℋ 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.
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References
T. J. Baxter,Exactly Solved Models in Statistical Mechanics (Academic, London, 1982).
A. B. Zamolodchikov,Zh. Eksp. Teor. Fiz. 79:641 (1980);Sov. Phys. JETP 52:325 (1980).
A. B. Zamolodchikov,Commun. Math. Phys. 79:489 (1981).
R. J. Baxter,Commun. Math. Phys. 88:185 (1983).
R. J. Baxter,Phys. Rev. Lett. 53:1795 (1984).
R. J. Baxter,Physica 18D:321 (1986).
A. B. Zamolodchikov, private communication.
R. J. Baxter and P. J. Forrester,J. Phys. A 18:1483 (1985).
Vieta,Variorum de rebus mathematicis responsorum, Vol. 8 (1595).
J.-P. Blaizot and G. Ripka,Quantum Theory of Finite Systems (MIT Press, Cambridge, Massachusetts, 1986).
S. Krinsky,Phys. Lett. 39A:169 (1972).
B. U. Felderhof,Physica 66:279 (1973).
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This paper is dedicated to Cyril Domb.
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Baxter, R.J., Quispel, G.R.W. Hamiltonian limit of the 3D Zamolodchikov model. J Stat Phys 58, 411–430 (1990). https://doi.org/10.1007/BF01112753
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DOI: https://doi.org/10.1007/BF01112753