Using your knowledge of perturbation theory, predict the changes in the wave function and energies for the following modified particle-in-a-box systems with the given wave function ; in the figures. Compute a number for the energies and compare it to the original energy, but just sketch the perturbed wave functions and show the changes. (f) V = 1 L/2 L V is the n = 1 particle-in-a-box wave function. (g) 5 0 Yi = 42 2 42 is the n = particle-in-a-box wave function. 0 -5 L/2