Generalized Coordinate Bethe Ansatz for open spin chains with   non-diagonal boundaries
  We introduce a generalization of the original Coordinate Bethe Ansatz that allows to treat the case of open spin chains with non-diagonal boundary matrices. We illustrate it on two cases: the XXX and XXZ chains.   Short review on a joint work with N. Crampe (L2C) and D. Simon (LPMA), see arXiv:1009.4119, arXiv:1105.4119 and arXiv:1106.3264. 
E. Ragoucy
hep-th math-ph math.MP