We review recent results concerning the quantum and classical dynamical pro
perties of ballistic electrons in a ripple channel, their transport propert
ies and its classical-quantum correspondence. In the classical regime of a
finite channel, a signature of chaos is found in the behavior of the resist
ance. The classical-quantum correspondence is analyzed in terms of "quantum
Poincare plots", energy level statistics, and certain features of the ener
gy-band spectra.