  The dynamics of a Brownian particle in a constant magnetic field and
time-dependent electric field is studied in the limit of white noise, using a
Langevin approach for the classical problem and the path-integral
Feynman-Vernon and Caldeira-Leggett framework for the quantum problem. We study
the time evolution in configuration space of the probability distribution of an
initial pure state represented by an asymmetrical Gaussian wave function and
show that it can be described as the superposition of (a) the classical motion
of the center of mass, (b) a rotation around the mean position, and (c) a
spreading processes along the principal axes.
