  We introduce a notion of noncommutative Poisson-Nijenhuis structure on the
path algebra of a quiver. In particular, we focus on the case when the Poisson
bracket arises from a noncommutative symplectic form. The formalism is then
applied to the study of the Calogero-Moser and Gibbons-Hermsen integrable
systems. In the former case, we give a new interpretation of the bihamiltonian
reduction performed in [3].
