Eigenvectors of open XXZ and ASEP models for a class of non-diagonal boundary conditions

Understand

We present a generalization of the coordinate Bethe ansatz that allows us to solve integrable open XXZ and ASEP models with non-diagonal boundary matrices, provided their parameters obey some relations.

• These relations extend the ones already known in the literature in the context of algebraic or functional Bethe ansatz.
• The eigenvectors are represented as sums over cosets of the $BC_n$ Weyl group.