  We consider the method of topological quantization for conservative systems
with a finite number of degrees of freedom. Maupertuis' formalism for classical
mechanics provides an appropriate scenario which permit us to adapt the method
of topological quantization, originally formulated for gravitational field
configurations. We show that any conservative system in classical mechanics can
be associated with a principal fiber bundle. As an application of topological
quantization we derive expressions for the topological spectra of some simple
mechanical systems and show that they reproduce the discrete behavior of the
corresponding canonical spectra.
