  The problems connected with Gaudin models are reviewed by analyzing model
related to the trigonometric osp(1|2) classical r-matrix. The eigenvectors of
the trigonometric osp(1|2) Gaudin Hamiltonians are found using explicitly
constructed creation operators. The commutation relations between the creation
operators and the generators of the trigonometric loop superalgebra are
calculated. The coordinate representation of the Bethe states is presented. The
relation between the Bethe vectors and solutions to the Knizhnik-Zamolodchikov
equation yields the norm of the eigenvectors. The generalized
Knizhnik-Zamolodchikov system is discussed both in the rational and in the
trigonometric case.

Exactly Solvable and Integrable Systems;High Energy Physics - Theory;Quantum Algebra