**Abstract: **
An infinite system of dynamical equations
$$
\frac{{\rm d}C_n(\tau)}{{\rm d}\tau} -
(n-\frac{1}{2})C_{n-1}(\tau) + (n+\frac{1}{2})C_{n+1}(\tau) = 0
$$
($n=1,2,\dots$, $C_0(\tau):=0$)
is transformed into a solvable partial differential equation by
the Fourier transformation. Some properties of the solution are
discussed.