  We construct integrable generalised models in a systematic way exploring
different representations of the gl(N) algebra. The models are then interpreted
in the context of atomic and molecular physics, most of them related to
different types of Bose-Einstein condensates. The spectrum of the models is
given through the analytical Bethe ansatz method. We further extend these
results to the case of the superalgebra gl(M|N), providing in this way models
which also include fermions.

Strongly Correlated Electrons;Mesoscale and Nanoscale Physics