New results in the XXZ open spin chain

Details New results in the XXZ open spin chain New results in the XXZ open spin chain

2007-12-04

arxiv.org/abs/0712.0452v1

Recent Advances in Quantum Integrable Systems, Annecy : France (2007)

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

In this review, I describe a recent approach based on the representation theory of the $q-$Onsager algebra which is used to derive exact results for the XXZ open spin chain. The complete spectrum and eigenstates are obtained as rational functions of a single variable which discrete values correspond to the roots of a certain characteristic polynomial. Comments and open problems are also presented.

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