  We introduce a new class of stochastic processes which are stationary,
Markovian and characterized by an infinite range of time-scales. By
transforming the Fokker-Planck equation of the process into a Schrodinger
equation with an appropriate quantum potential we determine the asymptotic
behavior of the autocorrelation function of the process in an analytical way.
We find the conditions needed to observe a stationary long-range correlated
Markovian process. In the presence of long-range correlation, for selected
values of the control parameters, the process has a 1/f-like spectral density
for low frequency values.
