In this talk, I will present a procedure to extract the generalised eigenvectors of a non-diagonalisable matrix by considering a diagonalisable perturbation of it and computing the non-diagonalisable limit of its eigenvectors. As an example, I will show how to compute a subset of the spectrum of the eclectic spin chain by computing the appropriate limit of the Bethe states of a twisted su(3) spin chain. -------- Part of the London Integrability Journal Club. Please register at integrability-london.weebly.com if you are a new participant. Link emailed on Tuesday.

Computing scalar products is a non-trivial problem in the context of the Algebraic Bethe Ansatz. In this talk I comment about the different problems one encounter and how to easily compute recurrence relations for scalar products, even beyond SU(2). I will also present a possible explanation for the existence of determinant representations of the scalar products. NOTE: Part of London Integrability Journal Club. Please register at integrability-london.weebly.com