The anisotropic spin-1 2 chains with arbitrary boundary fields are diagonalized with the off-
diagonal Bethe ansatz method. Based on the properties of the R-matrix and the K-matrices …

Employing the off-diagonal Bethe ansatz method proposed recently by the present authors,
we exactly diagonalize the XXX spin chain with arbitrary boundary fields. By constructing a …

The asymmetric simple exclusion process with open boundaries, which is a very simple
model of out-of-equilibrium statistical physics, is known to be integrable. In particular, its …

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 …

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 …

We use the quantum separation of variables (SOV) method to construct the eigenstates of
the open XXZ chain with the most general boundary terms. The eigenstates for the …

We propose that the Baxter Q-operator for the spin-1/2 XXZ quantum spin chain is given by
the j→∞ limit of the transfer matrix with spin-j (ie,(2j+ 1)-dimensional) auxiliary space …

We study a two-boundary extension of the Temperley–Lieb algebra which has recently
arisen in statistical mechanics. This algebra lies in a quotient of the affine Hecke algebra of …

We consider the algebraic Bethe ansatz solution of the integrable and isotropic XXX-S
Heisenberg chain with non-diagonal open boundaries. We show that the corresponding K …

A bstract The Izergin-Korepin model with general non-diagonal boundary terms, a typical
integrable model beyond A-type and without U (1)-symmetry, is studied via the offdiagonal …