Berry's phase and orbital angular momentum

In 1984 Berry showed that a quantum system evolving in a cyclic and adiabatic way acquires in addition to the dynamic phase also a phase which of geometric nature, depending on the path on the parameter space [1]. This geometric phase, also named Berry's phase, can be generalized to non-adiabatic situations [2] and presents some classical analogues, as in the case of the motion of a Foucault pendulum [3].