  We use time-independent canonical transformation methods to discuss the
energy eigenfunctions for the simple linear potential, pedagogically setting
the stage for some field theory calculations to follow. We then discuss the
Schr\"odinger wave-functional method of calculating correlation functions for
Liouville field theory. We compare this approach to earlier treatments, in
particular we check against known weak-coupling results for the Liouville field
defined on a cylinder. Finally, we further set the stage for future Liouville
calculations on curved two-manifolds and briefly discuss simple quantum
mechanical systems with time-dependent Hamiltonians.
