4. A particle in the infinite well has one edge at x=0 and the other edge at x=L (the same geometry we used in class) and has the wave function I (x, 0) = A(12 (x) + /3(x)). A. Calculate the value of A that normalizes the wave function. (2 points) B. Write I(x, t) and | I(x, t) |". Use w = 12h/2mL2 to simplify the second expression. (3 points) C. Calculate (x). What is its oscillation frequency? (3 points) D. If you measure the energy of this particle, what values might you get and with what probability? (4 points) 5. Sketch the wave function and the probability distribution for n=4 the state of the finite well. Make sure to clearly define the type of wave (sinusoidal or decaying) and the number of nodes. (4 points)