  Quantum dynamical semigroups play an important role in the description of
physical processes such as diffusion, radiative decay or other non-equilibrium
events. Taking strongly continuous and trace preserving semigroups into
consideration, we show that, under a special criterion, the generator of such a
group admits a certain generalized standard form, thereby shedding new light on
known approaches in this direction. Furthermore, we illustrate our analysis in
concrete examples.
