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 apply our new approach of quantum Separation of Variables (SoV) to the complete
characterization of the transfer matrix spectrum of quantum integrable lattice models …

We consider the XXX open spin-1/2 chain with the most general non-diagonal boundary
terms, that we solve by means of the quantum separation of variables (SoV) approach. We …

We derive by the traditional algebraic Bethe ansatz method the Bethe equations for the
general open XXZ spin chain with non-diagonal boundary terms under the Nepomechie …

The generic Heun operator of Lie type is identified as a certain BC-Gaudin magnet
Hamiltonian in a magnetic field. By using the modified algebraic Bethe ansatz introduced to …

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 consider the XXX spin-$\frac {1}{2} $ Heisenberg chain on the circle with an arbitrary
twist. We characterize its spectral problem using the modified algebraic Bethe anstaz and …

We implement our new separation of variables (SoV) approach for open quantum integrable
models associated to higher rank representations of the reflection algebras. We construct …

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 …