  We present a recursive procedure, which is based on the small time expansion
of the propagator, in order to generate a semi-classical expansion of the
\textit{quantum action} for a quantum mechanical potential in arbitrary
dimensions. In the method we use the spectral information emerges from the
singularities of the propagator on the complex $t$ plane, which are handled by
the $i\ve$ prescription and basic complex analysis. This feature allows for
generalization to higher dimensions. We illustrate the procedure by providing
simple examples in non-relativistic quantum mechanics.
