Abstract

This paper formulates and then proves a generalization of Hulthen's hypothesis for the excited states of the antiferromagnetic (J 0) Heisenberg XXZ model. For the limit density, the authors obtain an integral equation. It is shown that there exists a limit density of the distribution of the real values of the parameters characterizing the Bethe eigenvector for the excited states of the quantum lattice Heisenberg model. A system of integrodifferential equations is obtained for this density.

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