  We consider the evolution of an arbitrary quantum dynamical semigroup of a
finite-dimensional quantum system under frequent kicks, where each kick is a
generic quantum operation. We develop a generalization of the
Baker-Campbell-Hausdorff formula allowing to reformulate such pulsed dynamics
as a continuous one. This reveals an adiabatic evolution. We obtain a general
type of quantum Zeno dynamics, which unifies all known manifestations in the
literature as well as describing new types.
