Some simple examples from quantum physics and control theory are used to
illustrate the application of the theory of Lie systems.
We will show, in particular, that for certain physical models both of the
corresponding classical and quantum problems can be treated in a similar way,
may be up to the replacement of the involved Lie group by a central extension
The geometric techniques developed for dealing with Lie systems are also used
in problems of control theory. Specifically, we will study some examples of
control systems on Lie groups and homogeneous spaces.; Comment: LaTeX, 28 pages