  The fragmentation of diatomic molecules under a stochastic force is
investigated both classically and quantum mechanically, focussing on their
dissociation probabilities. It is found that the quantum system is more robust
than the classical one in the limit of a large number of kicks. The opposite
behavior emerges for a small number of kicks. Quantum and classical
dissociation probabilities do not coincide for any parameter combinations of
the force. This can be attributed to a scaling property in the classical system
which is broken quantum mechanically.
