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.