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Integrability and structure in the $1/r^2$ models

Shastry, Sriram B (1996) Integrability and structure in the $1/r^2$ models. In: 19th IUPAP International Conference on Statistical Physics(STATPHYS 19), 31 July-4 Aug.1995, Xiamen, China, pp. 27-36.

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In this talk, we will discuss a wide variety of $1/r^2$ class of model of interacting particles in 1 dimension. We summarize some of the ideas behind their recent exact solutions and discuss the reasons for their solvability. We examine the notion of Quantum Integrability in this context. In contrast to the well studied class of problems satisfying Yang Baxter equations, this class does not have a local algebraic structure, and several variants of Quantum Lax representations have been proposed. We summarize some of these and explore interrelations as well as some open problems

Item Type: Conference Paper
Publisher: World Scientific Publishing Company
Additional Information: Copyright of this article belongs to World Scientific Publishing Company.
Keywords: structure;integrability;Quantum Integrability;Yang Baxter equations;local algebraic structure;Quantum Lax representations;open problems
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 30 Aug 2007
Last Modified: 09 Jan 2012 09:33
URI: http://eprints.iisc.ac.in/id/eprint/10760

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