2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52516In 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.9 pagesHigh Energy Physics - TheoryQuantum AlgebraExactly Solvable and Integrable Systemstext