2.22 Write a computer program to animate the time dependence of an arbitrary linear combination of stationary states for the simple harmonic oscillator in one dimension. The animation should display the time dependence of both the wave function and the probability density distribution for finding the particle, both as a function of position. Check your animation by using pure eigenstates as input, and consider combinations that would approximate classical motion. Also animate the coherent state |A) in Problem 2.21 above, for different mean values of the Poisson distribution.