  We study the quantum analog of stirring of water inside a cup using a spoon.
This can be regarded as a prototype example for quantum pumping in closed
devices. The current in the device is induced by translating a scatterer. Its
calculation is done using the Kubo formula approach. The transported charge is
expressed as a line integral that encircles chains of Dirac monopoles. For
simple systems the results turn out to be counter intuitive: e.g. as we move a
small scatterer "forward" the current is induced "backwards". One should
realize that the route towards quantum-classical correspondence has to do with
"quantum chaos" considerations, and hence assumes greater complexity of the
device. We also point out the relation to the familiar $S$ matrix formalism
which is used to analyze quantum pumping in open geometries.
