Quantization of the Gaudin System
High Energy Physics - Theory
2007-05-23 v1 Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
In this article we exploit the known commutative family in Y(gl(n)) - the Bethe subalgebra - and its special limit to construct quantization of the Gaudin integrable system. We give explicit expressions for quantum hamiltonians QI_k(u), k=1,..., n. At small order k=1,...,3 they coincide with the quasiclassic ones, even in the case k=4 we obtain quantum correction.
Cite
@article{arxiv.hep-th/0404153,
title = {Quantization of the Gaudin System},
author = {D. Talalaev},
journal= {arXiv preprint arXiv:hep-th/0404153},
year = {2007}
}
Comments
9 pages