Baxter, Rodney Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. III: Eigenvectors of the transfer matrix and Hamiltonian. (English) Zbl 1092.82512 Ann. Phys. 76, 48-71 (1973). 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. Cited in 2 ReviewsCited in 40 Documents MSC: 82B23 Exactly solvable models; Bethe ansatz Citations:Zbl 1092.82511; Zbl 1092.82513 PDFBibTeX XMLCite \textit{R. Baxter}, Ann. Phys. 76, 48--71 (1973; Zbl 1092.82512) Full Text: DOI 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 [3] Lieb, E. H., Phys. Rev. Lett., 19, 108-110 (1967) [4] Baxter, R. J., Annals of Physics, 70, 193-228 (1972) [5] Gradshteyn, I. S.; Ryzhik, I. M., Tables of Integrals, Series and Products, ((1965), Academic Press: Academic Press New York), 909-925 · Zbl 0918.65002 [6] Yang, C. N.; Yang, C. P., Phys. Rev., 150, 321-327 (1966) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.