  The quantization of the continous cat maps on the torus has led to rather
pathological quantum objects [6]. The non-generic behaviour of this model has
led some to conclude that the Correspondence Principle fails in this case [2].
In this note we introduce the quantum sawtooth models, since this is the
natural family to which the cat maps belong. Thus, a simple propagator
depending on a parameter is constructed which for integer values of the
parameter becomes pathological quantum cat maps, while away from integer values
we find a return to the generic behaviour of non-integrable quantum systems.
