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Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. III: Eigenvectors of the transfer matrix and Hamiltonian. (English) Zbl 1092.82512

Summary: We obtain the eigenvectors of the transfer matrix of the zero-field eight vertex model. These are also the eigenvectors of the Hamiltonian of the corresponding one-dimensional anistropic Heisenberg chain.

MSC:

82B23 Exactly solvable models; Bethe ansatz
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References:

[1] Baxtex, R. J., Some Fundamental Eigenvectors, Annals of Physics, 76, 1-24 (1973)
[2] Baxter, R. J., Equivalence to a generalized ice-type lattice model, Annals of Physics, 76, 25-47 (1973) · Zbl 1092.82513
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