Quantization of the Gaudin System

Details Quantization of the Gaudin System Quantization of the Gaudin System

2004-04-21

arxiv.org/abs/hep-th/0404153v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

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.

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