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Introduction to Quantum Integrability

book
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Author: Anastasia Doikou, Stefano Evangelisti, Giovanni Feverat
Url: http://arxiv.org/abs/0912.3350v2
Format: Ps, Pdf
Year: 2009
Category: Integrable Systems
Pages: 58
Clicks: 139

Description
In this article we review the basic concepts regarding quantum integrability. Special emphasis is given on the algebraic content of integrable models. The associated algebras are essentially described by the Yang-Baxter and boundary Yang-Baxter equations depending on the choice of boundary conditions. The relation between the aforementioned equations and the braid group is briefly discussed. A short review on quantum groups as well as the quantum inverse scattering method (algebraic Bethe ansatz) is also presented.

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