A particle moving in the innite one-dimensional square well potential V(x) = 0 for |x| a is in the state described by the wave function mm a W) = [u1(x)+ mow/. where u1(x), u; (x) are the energy eigenfunctions corresponding to the energy eigenvalues E1 and E2, respectively. What is the wave function at time 1'? Calculate the probabilities P1 and P2 that at t = 0 a measurement of the total energy yields the results E1 and E2, respectively. Do P1 and P2 change with time? Calculate the probabilities P+(t) and P_(t) that at time t the particle is in the intervals 0