We propose a generalization of the algebraic Bethe ansatz to obtain the eigenvectors of the
Heisenberg spin chain with general boundaries associated to the eigenvalues and the …

The spectral problem of the Heisenberg XXZ spin-1 2 chain on the segment is investigated
within a modified algebraic Bethe ansatz framework. We consider in this work the most …

The modified algebraic Bethe ansatz, introduced by Crampé and the author [8], is used to
characterize the spectral problem of the Heisenberg XXZ spin-1 2 chain on the segment with …

We study the matrix ansatz in the quantum group framework, applying integrable systems
techniques to statistical physics models. We start by reviewing the two approaches, and then …

In this paper, we prove the off-shell equation satisfied by the transfer matrix associated with
the XXZ spin-1 2 chain on the segment with two generic integrable boundaries acting on the …

We solve the longstanding problem of defining a functional characterization of the spectrum
of the transfer matrix associated with the most general spin-1/2 representations of the six …

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 study the one-dimensional totally asymmetric simple exclusion process in contact with
two reservoirs including also a fugacity at one boundary. The eigenvectors and 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 …

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 …