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.
Full text not available from this repository. (Request a copy)Abstract
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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