4. (5 points) 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 w/ 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) 1 is the n = 1 i = 41 particle-in-a-box wave function. C 0 -5 L/2 L (g) 1/2 is the n = 2 particle-in-a-box wave function. UT -5- L/2