Universal Rmatrix and Quantum Volterra Model
Abstract
In this paper we explicitly prove that Integrable System solved by Quantum Inverse Scattering Method can be described with the pure algebraic object (Universal Rmatrix) and proper algebraic representations. Namely, on the example of the Quantum Volterra model we construct Loperator and fundamental Rmatrix from universal Rmatrix for Quantum Affine $U_q(\widehat{sl}_2)$ Algebra and qoscillator representation for it. In this way there exists an equivalence between the Integrable System with symmetry algebra A and the representation of this algebra.
 Publication:

arXiv eprints
 Pub Date:
 July 1996
 DOI:
 10.48550/arXiv.hepth/9607031
 arXiv:
 arXiv:hepth/9607031
 Bibcode:
 1996hep.th....7031A
 Keywords:

 High Energy Physics  Theory;
 Mathematics  Quantum Algebra
 EPrint:
 12 pages, Latex file