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New results in the XXZ open spin chain

Abstract : 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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https://hal.archives-ouvertes.fr/hal-00193557
Contributor : Pascal Baseilhac Connect in order to contact the contributor
Submitted on : Tuesday, December 4, 2007 - 9:35:20 AM
Last modification on : Tuesday, January 11, 2022 - 5:56:08 PM
Long-term archiving on: : Monday, April 12, 2010 - 5:56:10 AM

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  • HAL Id : hal-00193557, version 1
  • ARXIV : 0712.0452

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Pascal Baseilhac. New results in the XXZ open spin chain. Recent Advances in Quantum Integrable Systems, Sep 2007, Annecy, France. ⟨hal-00193557⟩

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