Bethe Vectors for Orthogonal Integrable Models

Theoretical and Mathematical Physics - We consider quantum integrable models associated with the $$\mathfrak{so}_3$$ algebra and describe Bethe vectors of these models in terms of the current...     

Asymmetric six-vertex model and the classical Ruijsenaars–Schneider system of particles

We discuss the correspondence between models solved by the Bethe ansatz and classical integrable systems of the Calogero type. We illustrate the correspondence by the simplest example of the inhomogeneous asymmetric six-vertex model parameterized by trigonometric (hyperbolic) functions.     

Algebraic Bethe ansatz for $$\mathfrak o_{2n+1}$$ -invariant integrable models

Theoretical and Mathematical Physics - We study the class of $$ \mathfrak{o} _{2n+1}$$ -invariant quantum integrable models in the framework of the algebraic Bethe ansatz and propose a construction...