5. B&J 3.12 3.12 Let E" denote the bound-state energy eigenvalues of a one-dimensional system and let 1\

5. 3.12 3.12 Let En denote the bound-state energy eigenvalues of a one-dimensional system and let IL, (x) denote the corresponding energy eigenfunctions. Let V (x, t) be the wave function of the system, normalised to unity, and suppose that at t = 0 it is given by 1 = elatV1(x) + -eia2V2(x) + ---elCWf3(x) where the at are real constants. (a) (b) (c) Write down the wave function V(x, t) at time t. Find the probability that at time t a measurement of the energy of the system gives the value E2. Does (x) vary with time? Does (px) vary with time? Does E = (H) vary with time?