An asymmetrical quantum well is shown at right. One barrier of the well is infinitely high and the other is finite with a energy of 0.75 eV. a. Write down the general form of the electron wave functions in each of the 3 regions. (10%) b. Use the boundary conditions to come up with a pair of equations that can be then turned into a single characteristic equation for the energy levels in the well. (30%) U U= 0.75 eV E2 C. Use the equation from (b) to calculate the energies for the first two bound states in the well. (30%) E1 u=0-1 d. Make good sketches of the wave functions of the first two bound states. (20%) 0 L = 1.5 nm e. Use the equation from (b) or the sketches from (d) to show that it is possible to have an asymmetric well that has no allowed bound states. Describe how the parameters of the shape of the well (L, and UL) determine the condition of having no bound states. (The more mathematical your description, the better.) (10%)