This chapter describes a general scheme for constructing quantum integrable models within
the Quantum Inverse Scattering Method (QISM) framework. Much of what is described here …

A bstract We show that the scalar products of on-shell and off-shell Bethe vectors in the
algebralic Bethe ansatz solvable models satisfy a system of linear equations. We find …

Abstract An operator of Heun-Askey-Wilson type is diagonalized within the framework of the
algebraic Bethe ansatz using the theory of Leonard pairs. For different specializations and …

We consider a rational six vertex model on a rectangular lattice with boundary conditions
that generalize the usual domain wall type. We find that the partition function of the …

A bstract We obtain a determinant representation of normalized scalar products of on-shell
and off-shell Bethe vectors in the inhomogeneous 8-vertex model. We consider the case of …

We explain how to compute correlation functions at zero temperature within the framework of
the quantum version of the Separation of Variables (SoV) in the case of a simple model: the …

We solve the XXZ Gaudin model with generic boundary using the modified algebraic Bethe
ansatz. The diagonal and triangular cases have been recovered in this general framework …

This paper is a continuation of [J. Phys. A: Math. Theor. 55, 405203 (2022)], in which a set of
matrix elements of local operators was computed for the XXZ spin-1/2 open chain with a …

We prove the modified algebraic Bethe Ansatz characterization of the spectral problem for
the closed XXX Heisenberg spin chain with an arbitrary twist and arbitrary positive (half) …

We calculate the scalar product of Bethe states of the XXZ spin-$\frac {1}{2} $ chain with
general integrable boundary conditions. The off-shell equations satisfied by the transfer …