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Three formulas for eigenfunctions of integrable Schroedinger operators
Giovanni Felder, Alexander Varchenko
We give three formulas for meromorphic eigenfunctions (scattering states) of Sutherland's integrable N-body Schroedinger operators and their generalizations. The first is an explic…
Bases of Bethe Vectors and Difference Equations with Regular Singular Points
Vitaly Tarasov, Alexander Varchenko
We prove that Bethe vectors generically form a base in a tensor product of irreducible heighest weight -modules or -modules. We apply this result to difference equ…
Remarks on the structure constants of the Verlinde algebra associated to
Giovanni Felder, Alexander Varchenko
The structure constants of the Verlinde algebra as functions of either vanish or can be expressed after a change of variable as the weight function of a…
Integral representation of solutions of the elliptic Knizhnik--Zamolodchikov--Bernard equations
Giovanni Felder, Alexander Varchenko
We give an integral representation of solutions of the elliptic Knizhnik-Zamolodchikov-Bernard equations for arbitrary simple Lie algebras. If the level is a positive integer, we o…