  Using the Wigner-Weyl mapping of quantum mechanics to phase space we consider
exactly the quantum mechanics of an harmonic oscillator driven by an external
white noise force or whose frequency is time dependent, either adiabatically or
parametrically. We find several transition probabilities exactly. We also
consider the (quantum mechanical) randomizing effects of the external white
noise force on the Weyl quantized phase angle and upon other Weyl quantized
quantities.
