Inhomogeneous T-Q equation for the open XXX chain with general boundary terms: completeness and arbitrary spin

TL;DR

This paper discusses a simplified inhomogeneous T-Q equation for the open XXX spin chain with general boundary conditions, providing a generating function for arbitrary spin cases and addressing eigenvalue completeness.

Contribution

It introduces a simplified T-Q equation that captures all eigenvalues and proposes a generating function for arbitrary spin, advancing understanding of boundary effects.

Findings

Simplified T-Q equation describes all eigenvalues.

Generated T-Q equations for arbitrary spin.

Addresses completeness of eigenvalues.

Abstract

An inhomogeneous T-Q equation has recently been proposed by Cao, Yang, Shi and Wang for the open spin-1/2 XXX chain with general (nondiagonal) boundary terms. We argue that a simplified version of this equation describes all the eigenvalues of the transfer matrix of this model. We also propose a generating function for the inhomogeneous T-Q equations of arbitrary spin.