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Reflection-Transmission Quantum Yang-Baxter Equations

Caudrelier, V., Mintchev, M., Ragoucy, E. and Sorba, P. (2005) Reflection-Transmission Quantum Yang-Baxter Equations. Journal of Physics A: Mathematical and General, 38. pp. 3431-3441. ISSN 0305-4470

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Abstract

We explore the reflection–transmission quantum Yang–Baxter equations, arising in factorized scattering theory of integrable models with impurities. The physical origin of these equations is clarified and three general families of solutions are described in detail. Explicit representatives of each family are also displayed. These results allow us to establish, for the first time, a direct relationship with the different previous works on the subject and make evident the advantages of the reflection–transmission algebra as a universal approach to integrable systems with impurities.

Item Type: Article
Institution: The University of York
Academic Units: The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 15 May 2009 11:47
Last Modified: 15 May 2009 11:47
Published Version: http://dx.doi.org/10.1088/0305-4470/38/15/013
Status: Published
Publisher: Institute of Physics
Refereed: Yes
Identification Number: 10.1088/0305-4470/38/15/013
URI: http://eprints.whiterose.ac.uk/id/eprint/6852

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