Separation of variables for quantum integrable models related to Uq(sl^N) U_q(\hat{sl}_N)

In this paper we construct separated variables for quantum integrable models related to the algebra $U_q(\hat{sl}_N)$. This generalizes the results by Sklyanin for $N=2,3$.Comment: 12 pages, Latex, AMS font

On the deformation of abelian integrals

We consider the deformation of abelian integrals which arose from the study of SG form factors. Besides the known properties they are shown to satisfy Riemann bilinear identity. The deformation of intersection number of cycles on hyperelliptic curve is introduced.Comment: 8 pages, AMSTE

Counting the local fields in SG theory.

In terms of the form factor bootstrap we describe all the local fields in SG theory and check the agreement with the free fermion case. We discuss the interesting structure responsible for counting the local fields.Comment: 16 pages AMSTEX References to the papers by A. Koubek and G. Mussargo are added. In view of them the stasus of the problem with scalar S-matrices is reconsidered

Structure of Matrix Elements in Quantum Toda Chain

We consider the quantum Toda chain using the method of separation of variables. We show that the matrix elements of operators in the model are written in terms of finite number of ``deformed Abelian integrals''. The properties of these integrals are discussed. We explain that these properties are necessary in order to provide the correct number of independent operators. The comparison with the classical theory is done.Comment: LaTeX, 17 page