Abstract

The method of separation of variables (SoV) is employed for the spectral problem of the XXZ model. The Baxter difference equation is resolved by means of a special isotropic asymptotic expansion. States are identified by multiplicities of limiting values of the Bethe parameters. As an application, the statistical properties of integral spectra are investigated. It is shown that the power function gives the more correct description of nearest-neighbour spacing distribution density at intermediate spacings as compared with the exponential.

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