An exact quantum solution is obtained for the problem of Gaussian wave
packet motion in an anharmonic potential. Wave-packet evolution is des
cribed by means of an autocorrelation function. The solution is expres
sed via the theta function with time-dependent argument and parameter.
A simple physical analogy is proposed for the wavepacket motion. The
problem of calculating the width of the wavepacket ''revival zones'' i
s considered.