Refer to the following one-dimensional quantum potential structure. This is an extension of the problem in the midterm exam. In region O the potential V = 0; in regions I and III the potential V = 0; in region II the potential V = Vo = 1.0 eV. The width of region I, L = 2.0 nm; the width of region II, AL = L - L = 1.0 nm, or L = 1.5 L. There is an electron in region I. V = 00 0 X = 0 I V = Vo X = L || X = L (1) Show Schrodinger equations of the electron inside regions I, II, and III. (2) Find initial solutions of the above equations with 6 unknown constants. (3) Find two out of six constants of the above solutions. (4) Find the next three constants of the solutions in step 2.