Consider a particle with mass m = 1 moving in an infinite square well potential, V(x) = 0 for -1 < x < 1 and V(x) = 0 otherwise. Assume that initially the particle lies at x=-1 with momentum, p = po for 0.1

(a) Find the solution of the Liouville equation in action-angle space at time 1.

(b) At what time does the initial distribution of points begin to break apart in (p,x) space? 3N