Abstract

This paper is concerned with the construction of the generalized strong anisotropic XXZ model. By means of the quantum inverse scattering method and boson-fermion correspondence, we investigate the general states and the scalar products of general states in the generalized strong anisotropic XXZ model which are tau functions of the universal character hierarchy. In addition, the relations between strong anisotropic XXZ model and KP hierarchy have also been presented.

中文翻译：

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强各向异性XXZ模型和UC层次的推广

摘要

本文涉及广义强各向异性XXZ模型的构建。借助量子逆散射方法和玻色子-费米子对应关系，我们研究了广义强各向异性XXZ模型中的一般态和一般态的标量积，它们是通用特征层次的tau函数。此外，还给出了强各向异性XXZ模型与KP层次之间的关系。