Show that the wave function v (x, t) = [(Aeika + Be-ikx)e-iEt/h -a/2 x a/2 0 otherwise = 0 in the region -a/2 x a/2. (2) satisfies the Schroedinger equation with V(x) Suppose that you want (x, t) to be the wave function describing a particle that is free (with V = 0) in the region -a/2 x a/2, but with V = everywhere else. In this case, the probability of finding the particle outside the "box" from -a/2 x a/2 must be zero. For what values of k will the wave function be continuous at x = a/2?