Completeness of Bethe's states for generalized $XXZ$ model
High Energy Physics - Theory
2008-11-26 v2
Abstract
We study the Bethe ansatz equations for a generalized model on a one-dimensional lattice. Assuming the string conjecture we propose an integer version for vacancy numbers and prove a combinatorial completeness of Bethe's states for a generalized model. We find an exact form for inverse matrix related with vacancy numbers and compute its determinant. This inverse matrix has a tridiagonal form, generalizing the Cartan matrix of type .
Cite
@article{arxiv.hep-th/9403107,
title = {Completeness of Bethe's states for generalized $XXZ$ model},
author = {Anatol N. Kirillov and Nadejda A. Liskova},
journal= {arXiv preprint arXiv:hep-th/9403107},
year = {2008}
}
Comments
20 pages, PlainTEX